Daily+summary+of+our+sessions

On this page, each of you will write a daily summary of the big ideas developed in class along with any other information you want to share, such as the At Home Extension. Here is a sample format I'd like you to refer to when writing the summary:


 * ====== The following ideas were the focus of today's class: ======
 * • idea 1
 * • idea 2
 * • idea ......
 * The way we developed idea 1 (2, 3, etc) was ...
 * An important thing to remember about idea 1(2, 3, etc) is ...
 * Idea 3 (idea developed late in the class session) is something that we'll revisit in later class periods but we got a start on this idea by discussing ...

=
Please try and follow the guidelines above when writing your summaries. Avoid writing a linear "Here's what we did first, then second, and so on". The intent is that you begin to think more broadly about the ideas and find more connections; beginning to think like a teacher! So try it out. ====== Session 27: 6/23/2011 Big Idea: Princess and the tiger To match the story we switched A and B around. There ae 3 main paths to both A and B. Path 1 splits into 2 paths (top triangle) so each of path 1 is 1/2 one of the half is going to B and the other half going to A. Path 2 goes straight into box B so the path is 1/3. Path 3 (bottom triangle) is split into 3 paths 1 going into box A and 2 into Box B. So A is 1/3 and box B is 2/3. We all seen stephanie write the the tree diagram of the pathways one the board and Tina guided us through the area model. We have to be mindful when doing the area model we are to think of length x width. With the tree diagram we have to follow the path. And to check and make sure they are right add them together and it shoul equal 1. Big Idea 2: Monte Carlo Descibe a model: We need to make the outcome a real situation and match it with "fake thing". For example: a Dice. By using the random integer we pressMATH---> PRB--->2(RANDOM INT(1-6) (possible outcomes of rolling the dice). ENTER and the possible outcomes appeared. Witht pg. 176 #2 we used this same math procedures the REAL situations was hit or miss and the "Fake" was the math randome integer procedure. SINGLE TRIAL: one full trial would be the batter going up 4 times at bat. Stimulate and ask if he hit more than 2 times if 1-10 it's a hit if 11-20 then it's a miss. If hit more than 2 times its a success if not it's a fail. Dr. B had thiese numbersafter using random integer: 8,15,10,6 2 hits and 2 misses so the trial was a success. She did 5 trials and they all were suceess'. 5as number of success/ 5 is number of trials 5/5= 100%**Session 26: 6/22/11 ** Big Idea: Random

 Can you only theoretically solve problems or do you have to use experimental? __ (Simulate is the experiment __ Scenario: 6 Harry Potter cards in fruit roll-up boxes. We of course want all of them. How many boxes will it take? Is there a way to “pretend” to go shopping to try and get all 6 cards? How could we set up the experiment? Technology? We decided you could use the calculator or manually pick.


 * Roll a 6 sided die
 * Put 6 names into a hat and pick 1 out. Put the name back in hat. Pick again

To Roll Die: Calculator Instructions are:: Apps, Prob Sim, Roll Dice ( Dr. B also put into drop box for prob sim instructions) Our class outcome for how many boxes to “buy” to get all 6 cards: Trial 1) 12/15/7/14/12/13/10/22/8/19/18/18

We graphed all 3 trials and our histogram was skewed to the right

** When rounding on how many boxes to buy if your mean is 13.56 or 13.12 you have to round up to the next whole number/box. 14 boxes **Conclusion: Depending on the scenario, you need to conduct a simulation (Monte Carlo Procedure was introduced) to collect data. With our class being small, this only generates a small population. Outcomes need to be random. AHE:

p 193 #2-4, 6. Actively read paragraph on p 166 before exploration complete 169 #1-3. Actively read p 174, get to know this structure for setting up the Monte Carlo simulation then work on P 176 #2. Carefully write out how you used the 4 steps in this problem; I want to collect this. Read through all of p 178; it includes a program. Read it through a couple of times and we’ll walk through it tomorrow.

Session 23

I’ll be sending Mindmeister invitations this weekend; some already got one yesterday. Create your account and then I can share the beginning of a course map with all of you. You don’t have to create a map in your “space” but rather on my shared space. I’ll try to develop expectations for the concept map so that we all understand what needs to be done.

We’ll start some new material today and close class off with homework problems so post your questions before class starts.

Oops, I forgot to address homework questions. We’ll do that first on Monday.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; vertical-align: baseline;">__Old homework questions:__
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Pg. 121 question 1e **
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Suggestion: We know that the mean is also the “Balancing Point” of the data set, so what if we used the “ <span style="background-color: transparent; color: #ff0000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">fair <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;"> share” approach for this question? Would that work? **


 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">*pg.120,g., h (these were posted on Session 20 as new homework problems but we responded to those in class so I’m not sure if they are still questions or not). **


 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">#2 pg 132: I think we finished? **

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; vertical-align: baseline;">__LAST NIGHTS HOMEWORK:__
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Conditional Vs Marginal: What’s the difference? does marginal mean limited and conditional mean subject to or dependent upon a certain condition? show example please. **

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; vertical-align: baseline;">__What we learned today:__ **

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">We took a vote and agreed that the first box plot had more variability because it had a greater min & max, greater range, and the IQR (UQ - LQ = IQR) has a larger range. Range is a distance. When we speak of variability we are referring to the range; box plots show variability, KNOW HOW TO DISCUSS THIS VARIABILITY.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">The mean deviation and standard deviations tell us something about the distance from the mean of all the data; it’s a mean distance. The Standard Deviation is the Square Root of the Squared Deviation. Do the arithmetic a couple of times by hand but KNOW HOW TO FIND STANDARD DEVIATION IN OUR CALCULATORS.

= __**The following ideas were the focus of today's class:**__ =

= **__Big Idea 1:__** =

__**<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">PROBABILITY: **__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Words that describe probability:
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Chance
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Probably
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Likely/Not
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Maybe
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Possible
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Impossible
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Certain/Near
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Likelihood

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Certain that something can/cannot happen: 100%, which has to represent the WHOLE-1. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Impossible that something can/cannot happen: 0%, which has to represent 0.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">__**Availability:**__ Available information that relates to own personal experience as we estimate likelihoods.

= __**Big idea 2:**__ = **__Representative__** __ **:** __ Refers to the tendency to infer whole population traits/trends to a particular outcome. EX: Our class is all women and we said it was not likely that we liked to play combat video games.

= __**Big idea 3:**__ = <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">__**Experimental Probability:**__ Based on data you collected. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Theoretical Probability: Have not collected any data as of yet.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Hershey Kiss Experiment: What are the chances of it landing on side or bottom? Or Possible outcomes. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">The law of large numbers: The more trials you do the less variability is present.

= = <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Complete #2 p 142. Read p 144 actively. Read p 150 actively. P152-156 # 1-9 skip 2. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Actively read p 157-158. There are many new terms here for the definition page in Wiki. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Finish survey project.
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; vertical-align: baseline;">__NEW HOMEWORK__ **

= = =Session 25, June 21, 2001=

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; vertical-align: baseline;">__What (do we think) is probability?__

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">-chance: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">-anticipated events <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">-numerical value assigned to likeliehood, 0<p<1 <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">-methods: ways of calculating chance/probabilty <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">-experimental <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">-theoretical

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; vertical-align: baseline;">__What producues random results?__

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">-toss a coin: dont know the exact outcome but we can predict because we know the probablililty of the outcomes

example: probability of getting a 2 on a 6 sides die, would be written as P(2)=1/6

Looked over/did quick poll on question pg. 160 #8 A,B,C

__**Big Idea #1**__

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Discussed <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 12pt; text-decoration: none; vertical-align: baseline;">difference between theoretical and categorical <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">... for letter b) 25%chance of getting it right, 75%chance of getting it wrong

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">What does it take to be experimental: theres data collected <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">theorerical... is it fixed? is it consistent? <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; vertical-align: baseline;">__theoretical__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">--based on prediction, know the outcome.. based on probabilities, already know the probability..based on knowlegde of angle measures we knew the probability of spinning a certain color, without actually spinning the spinner(pg 142)

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">quick poll... pg142 b iv. where does the mark show up on the continuum? More towards certain? True or False?

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Randomness: dont know whats going to happen

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">-each individual trial.. not all trials as a whole..

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">group work: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">what are my chances of getting a tail, then a number 6.. P(T,6)

(I could not insert the branch on here.. but to describe it, It starts off with two options (heads or tails) then from each of those 6 more possibilities branch off .. totaling 12 total possibilities) so P(T,6)= 1/12

__**Big Idea#2**__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Also for the tree..we can mulitply the numerator and denominiater.. to get the probability.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">the branch is theoretical.. because we dont know what the result is going to be..

__**Big Idea#3**__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">We can also represent this data in a grid

(Again could not insert grid on here... Examples of these grid can be see on the worksheet Which is Best?

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; vertical-align: baseline;">__AHE__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">Actively read pp184-186 and complete p 187 #1-3. Actively read pp 190-192 and complete p 193 #1 and finish Which is best? <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; text-decoration: none; vertical-align: baseline;">***Please make sure everyone adds something to our concept map on mindmeister!!!! If we all contribute this should be an easy 20 pts : )** Session 24 June 20, 2011


 * Discussing homework in groups led tothe big ideas of session 24**
 * Big ideas were discussed in reference to AHE problems 153 #4 A,B and 156 #9**

//__Big Idea 1**__// (Problem 4) //__**Big Idea 2**__//
 * If you have only 1 bag of M&M does that change the probability from 55 bags or is the probability the same:
 * If you are asked to estimate the probability that the candy selected will be red out of 1 bag is it the same if you are asked to estimate the probability that the candy selected will be red out of 55 bags
 * The answer is still 23.17% ….....because P(red)=23.17% no matter how many bags are in question.
 * The results from the experiment with 55 total bags is experimental probability while when asking the probability of 1 bag we must use theoretical probability because we did not actually perform any trials with one bag.
 * Note that there is a difference between appropriate and preference
 * If asked what is the probability if you toss a coin that you will get heads?
 * 50% or .50 or ½ are all appropriate how you actually report your probability is a preference based on how you wish to communicate to others....which one is clearer to your audience.
 * When determining the probability of an outcome it is important to remember the context
 * What is your population of interest and what are the total number of possible outcomes out of that population.

//__**Big Idea 3**__// >
 * What is your definition of random?
 * The outcome is not based on previous events
 * It is based on the probability of the events that are occurring presently what is happening now, this time, this trial.
 * Theoretical vs. Experimental
 * If you have a dice and are asked what is P(rolling a 2) you can safely say that is 1/6 without conducting an experiment or trials this makes this a theoretical probability.
 * With equally likely outcomes you can use a theoretical probability but if in the case of #4 and the M&Ms it is not equally likely the outcomes will be in proportion there for an experiment is necessary to determine the experimental probability.
 * REMEMBER!!!! A numerical valueassigned to the probability of an outcome must be between 0-1 (thisis a part to whole relationship).

__** AHE **__
//**Quiz on associations tomorrow**// ​
 * //**study num/num cat/num cat/cat including displays**//

Readpp 157 & 158 again actively, Finish #1-8.Activelyread pp 184-186, complete #1-2 p 187

** Sesion 22- June 15,2011 **
Today we continued the conversations on NUM NUM, NUM CAT, and then we were introduced to CAT, CAT associations. -To convince someone that there is an association we use the MAN FIT line. __CAT, CAT__ When creating a cat, cat you want to choose two variables that you think can be associated with each other.
 * Big Idea 1- Maybe the big idea is associations??**

EXAMPLE: thumb dominance vs. eye dominance Thumb- Right (6) Left (5) Eye- Right (7) Left (4)
 * With this info we cannot determine the association because you cannot see two meaning from the variable.

WE CAN NOW CREATE A **CONTINGENCY TABLE!!!**

THUMB Left Right Total
 * <span style="display: block; padding-bottom: 4.35pt; padding-left: 7.95pt; padding-right: 7.95pt; padding-top: 4.35pt;">4 ||


 * <span style="display: block; padding-bottom: 4.35pt; padding-left: 7.95pt; padding-right: 7.95pt; padding-top: 4.35pt;">3 ||

left
 * <span style="display: block; padding-bottom: 4.35pt; padding-left: 7.95pt; padding-right: 7.95pt; padding-top: 4.35pt;">1 ||


 * <span style="display: block; padding-bottom: 4.35pt; padding-left: 7.95pt; padding-right: 7.95pt; padding-top: 4.35pt;">8 ||


 * <span style="display: block; padding-bottom: 4.35pt; padding-left: 7.95pt; padding-right: 7.95pt; padding-top: 4.35pt;">3 ||

EYE right
 * <span style="display: block; padding-bottom: 4.35pt; padding-left: 7.95pt; padding-right: 7.95pt; padding-top: 4.35pt;">5 ||
 * <span style="display: block; padding-bottom: 4.35pt; padding-left: 7.95pt; padding-right: 7.95pt; padding-top: 4.35pt;">6 ||


 * <span style="display: block; padding-bottom: 4.35pt; padding-left: 7.95pt; padding-right: 7.95pt; padding-top: 4.35pt;">6 ||


 * <span style="display: block; padding-bottom: 4.35pt; padding-left: 7.95pt; padding-right: 7.95pt; padding-top: 4.35pt;">12 ||

TABLE didnt come out as planned Ill post it in google docs!

We can predict that if you are left thumbed you are more likely to have a right eye.
 * LEFT Thumb/ Right Eyed (strong association) Right thumb/ Right or Left eyed (moderate or weak/no association)**


 * We then go on to create a display by representing it into two separate displays (conditional Distribution of eye dominance for thumb Dominance and Conditional distribution of thumb dominance for eye dominance. (pg.68)**


 * Use the info in the table to create the conditional Distributions ( STACKED BAR GRAPH)**
 * Example 1/6 (16.67%) = LE 5/6 (83.33%) = RE**
 * (make sure to label for full credit)**


 * YOU CAN ALSO CREATE A CIRCLE GRAPH

Measures of strength of associations (strong, moderate, weak or no association) Trend (positive or negative)
 * Big Idea 2- (See session 21 notes for examples)**


 * SLOPE IS NOT STRENGTH**
 * We find this by judging the data and how close they are to the man fit line (pg.74)**
 * -after finding the man fit line we then are able to make predictions.**

Big Idea 3- Not sure this is a big idea.......
 * We went over past homework problems that we listed on the google docs page.**


 * __We then finished class with a quiz.__**

AHE ** : Actively read p 66-68; complete displays on p 68. P 69 #1-2. Actively read pp 140-141. Complete Exploration 1 and 2. We’ll collect data on #2 in class tomorrow. P 114 and 115 have data sets for more num/num practice.

=
**Big Idea 1:** Thus far we have learned how to organize single variable data. In brainstorming ideas, we determined analyzing single variable data may include numerical or categorical data, finding measures or center, measures of variability and creating several displays to illustrate our data. The inter quartile range, standard deviation and absolute mean deviation are also examples of statistics we can report with single variable data. ======

=
-Open the graph of both variables, 2nd->STAT->CALC->3 Using arrows move point to where you see fit and press ENTER, using arrows move to another spot on graph. In clicking ENTER, both dots will be connected with a line ======

*The following illustration clarifies the types of correlations we can see with a scatter plot. Nice job, Tarah!!

// Source :// []

**<span style="background-color: transparent; color: #d100ff; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">Read and complete Exploration p. 72-74; Complete Exploration 1. P 78 #3 has instructions for man fit., 4, (label the data Ctry, Cig, and Mort and put into 3 lists) 6, 8 ** **<span style="background-color: transparent; color: #d100ff; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">Ensure you are working on your Project Part III which is due Friday by 4:30pm. **
 * <span style="background-color: transparent; color: #d100ff; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">AHE **

**Session 20** 6/13/11

BIG IDEA 1: Class begun by looking at some data from our last quiz we took. Dr. B gave us 4 data points: min, max, mean, and median of all the data. The median was 9.75, in our small groups we needed to figure out what two numbers were used to find the median. We started our brainstorming by first noticing that she scores by .5 points. She does not do 1/4 points, so 9.75 is not an actually data point. This made us realize it is between two data points, which had to be 9.5 and 10. We knew that because we came up with the formula a+b/2= median.

BIG IDEA 2: <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Measures Of Variability: <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Range- distance from min to max <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">IQR- based on medians <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">absolute mean deviation- based on mean, distances away from the mean.

<span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Measures Of Center: <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Mean- fair share/balance

BIG IDEA 3:
We learned how to "Lock and Load" on our calculators. <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">By adding a “, the command stays there when your at the header, instead of showing all of the data points.

<span style="background-color: transparent; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Absolute mean Deviation- “abs( <span style="background-color: transparent; font-family: Arial; font-size: 12px; text-decoration: none; vertical-align: baseline;">L <span style="background-color: transparent; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">a-mean <span style="background-color: transparent; font-family: Arial; font-size: 12px; text-decoration: none; vertical-align: baseline;">L <span style="background-color: transparent; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">a  <span style="background-color: transparent; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Standard Deviation- “( <span style="background-color: transparent; font-family: Arial; font-size: 12px; text-decoration: none; vertical-align: baseline;">L <span style="background-color: transparent; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">a- mean( <span style="background-color: transparent; font-family: Arial; font-size: 12px; text-decoration: none; vertical-align: baseline;">L <span style="background-color: transparent; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">a))2

<span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Finding the mean of the deviaton list A- <span style="background-color: transparent; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">On the home screen- mean( <span style="background-color: transparent; font-family: Arial; font-size: 12px; text-decoration: none; vertical-align: baseline;">L <span style="background-color: transparent; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">DEVA)

Mean deviation is finding the mean distance away from the mean.

<span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; vertical-align: baseline;">__AHE__ <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Complete i, j, and k from the worksheet: What happens if. If you are given the mean and median of a data set, does it really matter if you know the data set or not when you are asked to make changes such as those in parts i, j, and k? <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Complete P 132 #2. Make sure you do all parts of this problem. Complete #3. Make the box plots by hand. <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Task 4 p 138 is a good summative problem, having you do several things. Nice prep for the final. You don’t have to have this completed by tomorrow but definitely before the final. <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Begin writing something on the last two pieces of the survey project part 3.

=
This this is associated with the centers of measure "mean", the two ways to find the mean is balancing point method or use blocks (fair share method) which takes from the larger numbers (groups) and gives to the smaller groups until each group is equal "robin hood, take from the rich give to the poor". ======

=
*Box and whisker plot: looking at the data and making box and whisker plot. You need to find the min, max,or median. To find the median you need to arrange the data from smallest to largest and then do the ca-ching method until you have equal amount of data values on each side or add up total number of data values and divide by two this will give the position, then find which data value goes in that position. To make a box and whisker you will also need to find Q1, Q2, min and max. Q1is located between the median and the lower extreme, you can find this by also doing the ca-ching method between lower extreme and the median until you find the lower quartile, you will also do this to find Q2. To find the upper quartile you need to do the ca-ching method between the median and the upper extreme. The min. is the lower extreme and the max. is the upper extreme. ======

__**6/8/2011 session 18**__ PART II OF SURVEY PROJECT DUE ON FRIDAY 6/10/11 @ 4:30 If you did not do Part B on the rubric for WA 2, go back and do it and re-submit it. AVERAGE is the same thing as MEAN T/F? F: Mean is the average and the median is the middle? Both are a type of average F: Mean of a data set is more stable than its median? Mean is sensitive to extreme values T: The only typical value of a set of categorical data is the mode? F: Average means the MEAN of the data set? F: A typical or representative or average of a data set should be one of the data(numbers) in the set? What makes a display skewed? the data is not balanced it has more data on one side. It will Make the scale very unbalanced.

When making a back to back stem and leaf plot the way you order the numbers does matter. (1,2,3,4,5 IS APPROPRIATE VS 5,4,3,2,1 THIS IS NOT MATHEMATICALLY APPROPRIATE!!!

On a stem and leaf it is not eye catching like on a dot plot.

Quartile is a value not a range of values. Quartile is not the same thing as a quarter. Box plot 5 critical point: Min, Max, 1st Quartile, 3rd Quartile and median Box Plot focus on the measures of the median. Distance between 2 quartiles are the inter quartile range

Measure of variability: inter quartile range Places where quartiles come up: comparing data and in a box and whisker plot

Make sure that PP 119 A and B data sets are in calculator. Be sure you are in the header :SECOND STAT SELECT LIST - (MINUS SIGN), SECOND STAT MATH SELECT MEAN SECOND STAT A THEN SELECT ENTER. This will show you how far the data set is from the mean.

Put in DEVB

**__Quiz tomorrow:__** **Type**: Short **On** measure of center. Possibly a 2 part question.

__ Session 17 __ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Wiki: Shay <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">**MAIN IDEA #1**: <span style="background-color: #ffffff; color: #0000ff; font-size: 15px; font-style: normal; font-weight: normal; vertical-align: baseline;">An algorithm for finding a median position <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">**(#+1)/2** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">(the number of data points plus 1 divided by 2) //This gives you the correct position of the median, not always the actual median// We developed this idea by putting example on the white board and using the Davy method in the course pack. Example: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">if you have an even number of data points: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">example 1,2,3,4,and 5 the median position is (5+1)/2=3 <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">if you have an odd number of data points: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">1,2,3,and 4 the median position is (4+1)/2=2.5 Measures of center are limited when exploring the distribution of data so statisticians took it a step further. For instance, <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">a dot plot can help you see the mean, median, and mode quicker visually. However, the mean median and mode can’t always show us the differences between the distribution of the data. so, you can can break the data into quartiles <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">called the <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">lower quartile and <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;"> the <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">Upper quartile**.** the class groups gave the descriptions of quartiles: the "numerical" lower quartile is <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">the median of the <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">lower half of the numerical data and the "numerical" upper quartile is the median of the <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">upper half of the data. We separated a set of data by finding the median. the median was found in the middle of the data and the quartiles were located on opposite sides of the median.
 * REMEMBER: in the story, the mom took the time to understand the child's thinking and scaffolded the child through his own thinking. DO THIS WITH YOUR STUDENTS, DON'T BOX THEM IN!**
 * MAIN IDEA #2:**

QUARTILES help describe the data, we will further discuss this tomorrow. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">Further info: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">**Survey project part 2** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">: You do NOT need to include any measure of variability in your write up but you do need to include measures of center.
 * REMEMBER: AVERAGES/MEASURES OF CENTER ARE NOT THE ONLY WAY TO DESCRIBE DATA DISTRIBUTION.**
 * MAIN IDEA #3:**

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">**Survey project part 3: due June 16. Changed again.....** <span style="background-color: #ffffff; color: #0000ff; font-size: 15px; font-style: normal; vertical-align: baseline;"> **hope that is not a problem**

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">AHE: Actively read p 117. p 121 #1-2; <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">**tomorrow** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;"> it will be 4a, c (need data from 3b), 5, 7, 8 (plus a little more).

The following ideas were the focus of today's class:
 * Session 16 6/6/11 **
 * Big idea #1: We must make sure that we use examples and show specific details when we are explaining how we understand something. We discussed this when being asked to compare three different answers to the same question, "describe how you can compare two sets of data on a stem and lead plot". Our class chose the best answer as the one that had specific data and descriptive terms.**
 * Big Idea #2: WE can only use MODE to describe the Average with Categorical Data. We next did an activity/discussion on who the average teacher is. The question was "what is your gender" 34 Males and 59 Females. We discussed what the average would be. We decided that the MODE is the best way to describe this because you couldn't the "middle" or the "mean" having categorical data. (we can't have 1/2 a person, or a mush two types of categories together.. such as a frog and cat)**
 * The mean and the median are both ways to find the average of data. One is affected more by extreme values than the others. Big Idea #3: We discovered that the Median is always the middle value which is based solely on POSITION, while the Mean is the middle value based on VALUE. Since the mean is based on value, if there is an extreme value this will pull the total value of the data higher, in return making the mean a higher value.**
 * Make sure when we are doing problems and figuring out the median and mean, we are doing what is MOST efficient. The balance method and sharing method are both great ways of finding the MEAN, we just need to make sure we are doing what is best for the specific data set.**


 * AHE- compare dot plot and stem and leaf plot for describing a distribution, play around with tinkerplots for K&L on drop box, and do AEF &G on "what happens if..**


 * Session 15 Midterm **

In the begginig of class we discussed the Midterm: Process of statistical Investigation.(problem, questions, collect data, analyze, interpret). Sampling Techniques, Bias, Precision.Derived, Interpret questions. Think about the Big Ideas. If you have questions or want to have discussion Wiki and google docs are available. Interpret: looking at data to answer the questions, (think about the data and if you are deciding a trend try not to go beyond the topic nbut make a prediction.Bar graphs are used for categories displays) Writing assignment due friday by 4 email or office. If you were the teacher what would you write as an expectation for the evaluation sheeet and comment on it. Survey project is due THURSDAY. Idea 1: Interpteting the histogram As a class we went over the procedurs of how to understand the histogram on our calculators. To find the range of the data press 2ND ->STAT ->OPS ->SORTA( then 2ND STAT( go down to your list of data and press enter two times. Done should appear then go to WINDOW X MIN (smallest number in the data) and X MAX (largest numver in the data). To create interval lengths or also known as "Bucket Width" go to WINDOW and then go down to (Xscl). The Y axis is needed to show the frequency of the data. Idea 2: Where is the mode?? When we were looking at the historgram we tried to find the mode( balue that occurs most oftern. We assumed it woul be the tallest bar but we later found out that can't determine where the mode is on a historgram becuase you don't know the data point.
 * Session 14 6/1/2011 **

Idea 3: Median In order to find the median we must know that it's the middle number. So when looking for the middle number we went to the histogram pressed TRACE and notice each time you move the cursor what does N=? then add each the N data points together until you reach the data point of the median.

Good luck on midterms!!! Remember READ THE QUESTIONS AS IS DON'T ADD OR TAKE ANYTHING AWAY FROM WHAT IT'S ASKING.

5/31/11-Session 13
__Big Idea 1:__ Get our brains thinking about measures of center

In the beginning of class we discussed with our group members what we thought the term average meant. Here’s what we came up with:

Group 1: The middle value of the data setGroup 2:Measure of center; Add the values and divide the total by number of values. Group 3: The number/level/degree,etc. that’s typical of group of thingGroup 4: The mean

This discussion activated our prior knowledge, and hopefully what we all read in our AHE, about measures of center.

__Big Idea 2:__ How to get a dot plot to match a population

From there, we took a look at the dot plots on page 103. Some questions raised were //“Do we include the years”// and //“If we show the salary, what’s to point of the dots?”.// Dr. B explained that the task was to **match** a dot plot to a population. Shay pulled out her copy of the Mystery balancers data to help facilitate an understanding what we were to represent with our dot plots. Her explanation lead into the class determining what sets were __very__ different from one another. Cierah suggested that A (which had more variability) and B (less variability) look different because of their variability (spread and range of data). Furthermore, we decided that C had the greatest variability based on its range. Overall, __we should have salaries written on the x-axis and each tick should represent $1,000.__

Next, Dr. B pulled out a pulse rate graph that was double labeled-which made a visually confusing interpretation of the data set. Dr. B reiterated that a case value plot (ie: when you put the student number at the bottom) isn’t really necessary in this case.

A piece to remember, showing numerical data on a graph **must** include its gaps. This helps show the distribution of the data set.

__Big Idea 3:__ Process of analysis/interpretation **We will revisit this in the morning** What is the process for using numerical data? 1) Order the data-students usually memorize procedures for this 2) Manipulate data to make a display What do we do first?! Organize then analyze? Look at the original question?

__BIGGEST IDEA OF SESSION 13__: Measures of center-You need to find the most appropriate “Find **__an__** average or typical value” Mean: Think of Robin Hood…”He took from the rich and gave to the poor”. –Dr. B
 * Fair to share
 * equal
 * ”Add them all up and divide to make all parts equal

Median: Think “Ca-Ching, Ca-Ching” as Dr. B crosses off towers starting on the ends and working her way to the middle.
 * Middle Hey, that's what I saw people doing!! : )

Mode: “Children pick it first because it sticks out ‘Like a sore thumb’” __Big Idea 4__: Working with balances (p. 98) Summary of activity Using weights of the same size, distribute them so the balance is level.
 * Visually determined (no procedures needed)
 * Wherever there is the most

Some ideas: 1 weight at: 0 & 30 | 70 & 100 1 weight at: 20 & 30 | 70 & 80 1 weight at: 40 | 2 @ 20

AHE Complete P 99 #1-3, 5-9. Actively read p 102 and **through the explorations** to clarify ideas developed in class today. P 104 #2, p 106 #2. Work on writing assignment a bit. Part of tomorrow’s AHE will be: P107 3-5, 7-12, 13a, 14-15
 * In Dropbox, open Tinkerplots file. Play around with tinkerplots to get a feel for the program

Thursday is Midterm. Only beginning ideas related to measures of center will be included in the material for the first half of semester. 05/24/11

=__**MAY 26- Session 12**__= <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">we decided in class that you are to subtract the starting number of the <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; vertical-align: baseline;">__first interval__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">by the starting number of the <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">**second interval.** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">ex. 1st interval: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; vertical-align: baseline;">__1.0__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">-1.1 <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">2nd interval: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">**1.2** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">-1.3 <span style="background-color: #ffff00; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Length= 1.2-1.0=.20 <span style="background-color: #ffffff; color: #000000; font-size: 15px; font-style: normal; font-weight: normal; vertical-align: baseline;">Also we said that you can also find the data by physical counting but this way is no always approraiate
 * We first started off today's session by discussing task 6a and pg58 p1. From that our main ideas that were brought up were how to explain the distribution on the graph. We also talked about how to determine range and interval lenght which**

<span style="background-color: #ffffff; color: #000000; font-size: 15px; font-style: normal; font-weight: normal; vertical-align: baseline;">Another main idea we talked about is vocabulary that we should use while describing graphs, we came up with a brief list of terms we use. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">- Clusters (large amout of data together) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">- Bump ( where is the highest value is) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">-Hole/Gap ( large empty spaces between the data)

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">For the last ten minutes or so before we took the quiz we jumped into sTATISTICS, with a little s. This kind of statistics is stats of a baseball player or stats of a teacher. We did a small activity with blocks trying to understand how children wold figure out the average of the data. The last thing Dr. Browning left us with was __**ITS NOT AN AVERAGE ITS THE AVERAGE**__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">, leaving us to ponder that idea so we can break it down on monday.

__**<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; text-decoration: none; vertical-align: baseline;">AHE **__
<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">actively read p 96; Complete p 97 #2 and p 99 #1. Actively read p 102. Use the data on p 103 and make the dot plots in your text. You do not have to answer any questions in the Exploration; just make the dot plots.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 15px; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">You also have a writing assignment I emailed. Due date is June 2 or 3. Read the document attached to the email. Midterm is June 2. Try to spend 2-3 hours sometime between now and Friday preparing for that, and then enjoy the rest of your holiday weekend. = = = __Session 11 5/25/11 Notes__ = At the beginning of the class, we all brainstormed big ideas that we think would be on our quiz tomorrow. Here is the list, with additions from Dr. B :) 1. <span style="background-color: transparent; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;"> Determine the total population of a table using the number of people involved in one percentage piece. <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">2. Create a histogram from a proposed data set. Analyze the shape and write a statistical summary. <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">3. Ask “write a categorical question” & “write a numerical question”. Don’t confuse this with read, derive and interpret. <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">4. Create an appropriate graph to a question. <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">5. Being able to apply and use the terms convenience, random, systematic and volunteer. <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">6. Understanding part to whole in any graph. Misleading graphs (task 5) <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">7. Which types of graphs are appropriate for numerical and categorical data. 8. Use technology (the 73) our big ideas.

The following ideas were the focus of today's class: -Using the 73 in the classroom -Defining Variability and Range -Using an appropriate graphical display

To help us learn how to use our 73 in the classroom, we learned how to "link" our calculators to send information. This is a quick and easy way to send data from one student another. Also in the classroom, the teacher could send something to the students very quickly! For example, in class we are working on making histograms in our 73's. To save time, one student could send the list of data for the histogram to another student. Here is the procedure to do so: Linking: Apps Link Two choices: Send and Receive R: receive, waiting. You have to be waiting before they send. S: in this case, choose List. Lists show up and then you choose ALL you want to send by pressing enter. Then select Transmit and you’re done.

The next big idea we discussed in class was variabilty, spread, range, and how they are all connected. Many students were getting confused on the fact that they thought spread and range were the same exact thing. They, in fact, are not, but are both connected to the variability of the data set. The range is the difference between the minimum and the maximum of the data. Variability is the spread of the data. It explains HOW the data looks. It is generally used with numerical data rather than categorical data. There is no exact "spread" or "range" in categorical data sets. Our last big idea covered in class was determining an appropriate graphical display for a dataset. We discussed the steps involved when deciding on which display. Here are is what the class came up with: <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">1. Compare <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">2. What type of variable? Categorical or numerical <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">3. How many data points? <span style="background-color: transparent; color: #0000ff; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">4. Choose display. (appropriate for variable type).

We ended the class by going over task 3 on page 89. Our main point was to decide which type of graph would be appropraite for the data. We first found that it was numerical data and that is didn't have too many data points. This narrowed down our options for appropriate displays. As a class, we decided we could use a dot plot, stem and leaf, or a histogram.

AHE: Review the problem on page 61 for discussion in class tomorrow. Dont forget to finish surveying six people and enter your data into the google docs! And more importantly, study for the QUIZ tomorrow!! :)

= = =**Session 10:**= ==Today, we talked about our homework problems, mostly old problems that we haven't had the chance to address yet thus far in class. We first started talking about the percentages and the whole. This is important to know otherwise when the whole changes so do the percents. We talked about problems relating to this important point for a majority of the class session today telling us that it is that important. We then talked the rest of the time about histograms and stem and leaf plot graphs and there significance to different raw data. For instance, histograms are good when working with larger sets of data. However, like everything else, histograms have both pros and cons, the pro listed above and the con is to lose individual data with this graph similar to a bar graph. Stem and leaf graphs are good when trying to find the bulk of where the majority of data is located. Again, however. that data can be a little overwhelming if a majority is at a specific interval set. What can we do with that? We can break the interval sets into 5 numerical number sets rather than the typical 10 numerical sets to make the data easier to understand. Oh and just a reminder, there will be a quiz on __Thursday Session 12!__==

HW: Page number 87 #5 and #6 also in case you haven't completed these tasks yet, #1 and #3
Session 9 MAY 23rd!! Session 10

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Four roles you must take on...Spokesperson, Facilitator, Encourager, Recorder. Be all of these in your classroom.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">**Quiz on Thursday. Today we focused on whether the circle dot plot graph was numerical or categorical. this took up most of the class discussion time. Next we discussed how to describe a numerical graph.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Two types of graphs: Categorical and Numerical.

Discussion:

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">“Circle dot plot” <the "unknown" graph we studied in class We discussed if this was numerical or categorical. our class eventually decided that it was categorical because the data in question was M&M's not numbers, which is a categorical. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Focus on the COLOR of the “circle plot graph” (without numbers it’s a picture graph)

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">To make it Numerical, we could ask “how many RED M&M’s did you have” RED is frequency, the number is the data. (count data)

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Analysis: Counted, organized and sorted.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Spread out/Clustering- Numerical characteristics (clump,bump,hole) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">range: the distance between min and max. example Min 10, Max 80, Range = 70. <these are terms we can use when describing a numerical graph.

DUE THURSDAY!! collect samples of our survey! <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Rec- D <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Computer Lab- BC- SW <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">UCC- L <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">MAC- T <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Library- Main SD <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">ED- TB <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Dalton- C <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Flag Pole- H, J <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Miller-M <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Dorms- St <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Cafe- Sh <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Bookstore- N

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14px; text-decoration: none; vertical-align: baseline;">Each person do 6 and post it on the new google docs

Session 8: 5/19/11
· The following ideas were the focus of today's class:

· __ Big Idea #1 __

Dr. B made a //stacked// bar graph from cutting out the bar graph that was on grid paper. She taped the pieces together to form a circle (circumference). Lay the taped stacked bar graph on top of the circle and mark off the respected sectors. By this being demonstrated, we saw how we could easily transform/convert that same information onto a circle graph.

// “Using a circle graph to represent part-to-part whole relationships is a natural progression from the stacked-bar graph. In a circle graph, the “whole” is represented by a circular region rather than a rectangular one.” (pg 18) //

We brainstormed how to take the numbers 12, 6, 8, 10, 14, and 7 (totaling up to 57) and “shrink” that into a single strip equaling 13 cm while still keeping the same fractions and keeping everything proportional.

Think about cutting 13 into 57 different pieces and then multiplying each of those pieces by the corresponding number. For example) 13 ÷ 57 x 7 (13 divided by 57 times 7) = 1.596 which rounds to 1.60cm *Remember do not round until the final step. So __DO NOT__ do 13 ÷ 57 = .2280 and round this to .23 and then multiply this by 7. This will give you a different answer.

These are the corresponding percents (rounded)

__ # __ __%__ 12 = .2105 For example) 12 is about 21% of the whole 6 = .1052  8 = .14035  10 = .1754  14 = .24561  7 = .1228  *Be sure to round to the tenth place

Dr. B showed us a short cut with our calculators. In your calculator go to __2nd__ then __CONST__. Type in the multiplication sign and then 360. Then go to __2nd__ then __QUIT__.

Now you can easily use the percents (listed above) to make a corresponding circle graph. To do this you would take the percents and multiply by 360. Instead type into your calculator .2105 followed by the __CONST__ button. This gives you 75.78. Notice the “n=1”. This represents how many times the “multiply” action has taken place.


 * Dr. B walked around and looked at our homework from page 35

· __ Big Idea #2 __

A __variable__ is going to be a question.. the question will therefore provide data that we want to analyze

What is the data? (In categorical order) 1. Real 2. Picture 3. Bar -normal -back to back -stacked -multiple 4. Circle

Numerical 1. dot plot

Dr. B showed a graph and we voted in our calculators which type we thought it was. 5 students voted for “picture”, 3 for “bar” and 3 for “circle”

We looked through our graph displays on pulse and discussed. What we realized about dot plots (line plots) were that…

--they were numerical. --in order to plot numerical data we need a number line, a title, labels and a key. --we can easily see the “bulk” of the data --we can easily see the minimum and maximum

**in these dot plot you DO NOT need to connect the points. It is irrelevant for the purpose of //this// __specific data__. The connecting line takes away from what the specific point of presenting the data is. For example) One point connected to another point that drops drastically may give a misconception of the purpose of the presented data.**


 * __ HW __**


 * -Will depend largely on what graphs the students have developed in class **
 * -Actively read page 41-45, complete page 47 #2. Use data from page 31 in 1 color and our PIQ data in another but put on same stem and leaf. Page 48 #1, read through #4. Complete 5a, c, 6c, d, 8, 9 **
 * -Actively read page 55 and complete 1, 4, 5 **
 * -Dot plots: Mystery Balances worksheets **


 * Also… Dr B sent a new email after class with the final revised survey questions in an attachment. The 6 surveys are due May 25th. **



*Session 7
<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; vertical-align: baseline;">__***Received Survey Project, 1st. part of project due Friday, May 20th by 12pm (email or drop off @ main office in Everret Hall.)**__

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;">**CLASS NOTES FOR 5/18/2011-Myltazazire K. Cobb**

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">-9am-9:10-group discussion of homework

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 14pt; font-style: normal; text-decoration: none; vertical-align: baseline;">**Summarizing Displays of Categorical Data** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; vertical-align: baseline;">__**Categorical displays**__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">-takes on Categorical designation <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">What is the Variable? color,time, place etc. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">What are the outcomes? any answer that does not have a derived numerical outcome <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;">**Should contain:**
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; list-style-type: disc; text-decoration: none; vertical-align: baseline;">**Title**
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; list-style-type: disc; text-decoration: none; vertical-align: baseline;">**Label of Axes**
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; list-style-type: disc; text-decoration: none; vertical-align: baseline;">**Scales**

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Doesn't have to have the same ranges or sizes. Has no fixed order. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">may have numbers and still be a categorical graph. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Examples of Categorical Displays: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">1. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;"> **Real** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">2. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;">**Picture** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">-when the <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;">**real** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;"> objects are removed and pictures are used to represent the objects <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">3. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;"> **Bar Graph** <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">/Stacked (part to whole)- can correspond to a circle graph <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">4. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;">**Circle Graph**

====<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;">**H.W Review of how to use your calculator to create graphs** ==== <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Calculator INFO: When placing categorical displays in a calculator we must put "quotation marks." <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">we can create categorical displays on the calculator by creating categorical list.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;">**Sara, Sara and Matt will divise a sampling plan on WIKI**

Session 6: 5/17/11
**Survey Questions:** These are the pilot survey questions: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 8pt; font-style: normal; font-weight: normal; vertical-align: baseline;">__Pilot Survey Questions__
 * **We discussed for a while what the initial problem was for the survey project.**
 * Problem: ** Motivation of full time students at WMU
 * Research Question: ** How does having a job effect a full time undergrad student at WMU? (Summer 1 semester)
 * 1) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 8pt; font-style: normal; font-weight: normal; list-style-type: decimal; text-decoration: none; vertical-align: baseline;">On average how many hours a week do you work?
 * 2) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 8pt; font-style: normal; font-weight: normal; list-style-type: decimal; text-decoration: none; vertical-align: baseline;">How do you spend the majority of your time outside of class rank 1-4. (1 being highest 4 being lowest)

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 8pt; font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 72pt; margin-top: 0pt; text-decoration: none; text-indent: 36pt; vertical-align: baseline;"> Socializing Studying  Working  Other <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 8pt; font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 72pt; margin-top: 0pt; text-decoration: none; text-indent: 36pt; vertical-align: baseline;">S M T W TH F S <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 8pt; font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 72pt; margin-top: 0pt; text-decoration: none; text-indent: 36pt; vertical-align: baseline;">S M T W TH F S
 * 1) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 8pt; font-style: normal; font-weight: normal; list-style-type: decimal; text-decoration: none; vertical-align: baseline;">What is your current GPA?
 * 2) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 8pt; font-style: normal; font-weight: normal; list-style-type: decimal; text-decoration: none; vertical-align: baseline;">What days of the week do you work ?( circle all that apply).
 * 1) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 8pt; font-style: normal; font-weight: normal; list-style-type: decimal; text-decoration: none; vertical-align: baseline;">What days of the week do you attend school? (circle all that apply).

We decided to take the last 2 questions out and replace them with: 4. How many credit hours are you taking summer 1? <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Example: #2 asks what is the purpose of each survey question: “to get the # of hours that they are working to make the comparison” #2 also asks what are your predictions: specific numbers and values you think will come from the data collected.
 * ** Part 1 of survey project is due now __Friday, May 20 by 12:00pm__ **
 * Also discussed what Part 1 is about and what Dr. B is looking for ** Don't miss any of the parts to questions!
 * Then we went over some types of graphs: Real Graph( actual objects in front of you), Picture graph(pictures used to show graph & no scale needed), and Bar graph

**AHE:**
 * **Read pgs 32-33 problems pg 35 # 2, 4, 5, 6, 8**
 * **Construct a display of our class pulse rate from the PIQ that you think would display the data appropriately.**

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline;">**SESSION 5 CLASS NOTES MAY 16 2011**

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">What to buy: Tinker Plots-Key Curriculum, Version 2, student edition. Promotion code will be given in a email sent by DR. B. The price is $10.00.

__Key points when critiquing a survey method:__ 1. Point out the Pros 2. Point out the Cons 3. Look for the type of survey it is: convenient, systematic, etc. 4. Think about the sample size, check to see if it is representative or not. 5. Is it bias?

__<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Ways to visually show the calculations collected in the survey: __ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">double bar graph, stacked bar graph, and number line.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">AHE: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Look at the pilot data. What does it tell us about our question? Do we need to modify or delete any of the questions. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Read pp. 32-33 <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Complete #2 on pg 24

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Later PP. 35 <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">2,4,5,6,8,

//5/12/11// **Session 4** __Technology__ Even though we use technology in the classroom, your instruction is still necessary to guide students through it's use. Make sure you do not lean on technology completely still have students solve problems with pen and paper or mentally.

Dr. B discusses Lists on your TI-73 -If anyone sends you a list you must open the list -To do this press 2nd LIST (STAT) -This will present all the lists stored in your calculator -To select a specific list begin in list editor delete list names go to 2nd list and select specific list to view __Discuss M&M Survey__ -Target Population is 1.69 Oz. Bags of M&M's manufactured in the US -Sample was 13 bags -Limitations to our survey include sample size is to small, where the population was manufactured, the day they were manufactured, and where they were purchased. -What is a good sample size: this is relative to the size of your total target population. -We found the total sum of individual M&M's within our sample and what percentage each color of M&M represents out of the whole sample.

-Even though we are in a statistics class we must think of math as a whole. Ideas such as percents, decimals, and fractions are all related. -In math 2650 we as a class will forever round our decimals to 2 places (hundredths place)

__Research question__ -What variables are important to our ultimate goal? -What is the intent of our survey and which questions are most relevant in reaching our ultimate goal? __Pilot Survey Questions__ > S M T W TH F S > S M T W TH F S
 * 1) On average how many hours a week do you work?
 * 2) How do you spend the majority of your time outside of class rank 1-4. (1 being highest 4 being lowest)  Socializing  Studying  Working  Other
 * 3) What is your current GPA?
 * 4) What days of the week do you work? (circle all that apply).
 * 1) What days of the week do you atternd school ?(circle all that apply).

__**AHE**__

*Actively read pp.13-20 for the exploration on p.21 make a stacked bar graph of our eye color that is 28 cm in length p. 22 #1, 2b, 3, 4 (typo regarding M&M percentages on p.28)

**Heads up quiz session 6 (tuesday) and reading assignment next week will be pp. 32-34**
 * Writing assignment due Monday as well


 * A heads up: Quiz #1 on session 6 **

Session 3 Notes __Class Notes 5/11__ The following ideas were the focus of today's class:

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Idea 1: Statistical Process: **


 * What is the Problem
 * Pose the Question
 * Collect and Organize Data
 * Analyze the Data
 * Interpret the Results

__<span style="background-color: transparent; color: #000000; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">** Id **** ea 2: What is our Target Population? As an idea, what //is// a target population? ** __ Our target population is **WMU undergraduate students**. **<span style="background-color: transparent; color: #000000; display: inline !important; font-family: Arial; font-size: 11pt; font-style: normal; line-height: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Perform a Pilot Survey: **

<span style="background-color: transparent; color: #000000; display: block; font-family: Arial; font-size: 11pt; font-style: normal; line-height: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">**Sample Size:**
 * Perform a pilot survey to try out the plan
 * Each student collect 3-5 surveys


 * <span style="font-family: Arial; font-size: 15px; line-height: normal; text-decoration: line-through; white-space: pre-wrap;">Relative size of Target Population a "good" sample size is relative to the size of the target population
 * **<span style="background-color: transparent; color: #000000; display: inline !important; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; line-height: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Random Sample <span style="background-color: #ffffff; color: #ff0000; font-size: 11pt; font-style: normal; font-weight: normal; line-height: normal; vertical-align: baseline; white-space: pre-wrap;"> we need to define what is a random sample **

__<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">**M & M’s exercise:** __ <span style="background-color: transparent; color: #000000; display: block; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; line-height: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">**Sort by Attribute:**

in addition to specific examples, we need some definitions __<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">**Idea 3: Frequencies of the Data:** __
 * Categorical Data; Example: Red, Blue, Green, Brown, Yellow
 * <span style="font-family: arial,helvetica,sans-serif; font-size: 13px; line-height: 19px;">**<span style="background-color: transparent; color: #000000; display: inline !important; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; line-height: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Numerical Data; Example: 4, 4, 7, 12, 14 **


 * <span style="font-family: Arial; font-size: 15px; margin: 0.5em 0px 0px; padding-bottom: 0px; padding-left: 3em; padding-right: 0px; padding-top: 0px; white-space: pre-wrap;">Is not the Data
 * <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; list-style-type: disc; margin: 0.5em 0px 0px; padding-bottom: 0px; padding-left: 3em; padding-right: 0px; padding-top: 0px; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Tells how often the color occurred

==We developed idea 1 based on the key elements that a sample survey should include in order to devise a conclusion of the proposed question. Idea 2 was developed from our proposed question "How does working at a job affect a full time undergraduate student?" We discussed what a pilot survey is, which is basically a sample survey of the questions we came up with to determine what we need to include or exclude from our survey questions. We also discussed sample size; how big the samples need to be in order to be representative of the target population. After performing our M&M's exercise we discussed the difference between categorical and numerical data; categorical data takes on categorical designations, for example, the colors of M&M's that occur in single a bag, and numerical data is the count or measurement, for example, how many of each M&M color were in the bag. Finally, with idea 3, we touched on this a little at the end of class, which is the frequency of the data. The frequency tells us how many times something occurred, for example, how many times the orange M&M occurred.==

<span style="font-size: 1.3em; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 5px;">__AHE/HW:__

 * <span style="margin: 0.5em 0px 0px; padding-bottom: 0px; padding-left: 3em; padding-right: 0px; padding-top: 0px;">Edit Survey Questions
 * <span style="margin: 0.5em 0px 0px; padding-bottom: 0px; padding-left: 3em; padding-right: 0px; padding-top: 0px;">Writing Assignment #1 __**Due Monday May 15, 2011**__

Session 2 Notes <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; vertical-align: baseline;">__**Class Notes 5/10**__

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline;">__Notes:__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Target Population: A specific group, pg. 10 <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Bias- noun. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Biased- adjective

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Idea 1: Looked at PIQ and talked about a typical Math 265 student/Target population <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">*Don't ask questions that are biased <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">*Want to get samples from students that are in the education program, and conduct them in an area where <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">education students will be. <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Idea 2: Statistical Process <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">*Start with a problem <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">*Pose the question <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">*Prepare survey questions that will answer posed question <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">*Collect data <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">*Report results <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Idea 3:Posed the Question <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">*Think about questions to answer the posed question -Categorical-grouping of objects, not numbers -Normative-numbers
 * Think about coming up with questions that are Categorical/Normative based

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline;">__Process of Statistical Investigation (pg 1):__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Statistics as a process: begins with a question (how to solve the problem) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Problem: Attitudes of students motivation <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Pose the Question: How does working at a job affect a full time undergraduate WMU student? <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">*Create two sample survey questions and email them to Dr. B.

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Variable: A type of question (numerical vs. categorical <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Numerical variable- Types: <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Categorical variable- Types:

<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline;">__HW:__ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">1. Read Syllabus <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">2. Read Bias/Lack of Precision Handout <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">3. Read Page 10-11, #2-5 <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">4. Fill in spreadsheet on google docs with information from PIQ <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">5. Email Dr. B; the 2 sample survey questions