Illinois State University Mathematics Department


MAT 312: Probability and Statistics for Middle School Teachers

Spring 1999
9:35 - 10:50 am TR STV 350A
Dr. Roger Day (day@math.ilstu.edu)



Calculator Assignment: Due Tuesday 19 January 1999


For questions 1 and 2, I ought to be able to look at your calculator and examine your work. You should have the data saved in lists L1, L2, and L3 and you should have entered Stat Plot info to create a histogram for each of the three data sets.

Here are sample written responses for questions 3 through 6.

Task #

Value/Question

L1: Number of Consonants

L2: Shoe Length (cm)

L3: Arm Length (cm)


3

mean
3.68
25.76
38.44
median
4
26
38
mode
4
21,26,27,28,29
30,31,32,38,44,46,47
Do the three values differ?

No. There is a high concentration of values at 3, 4, and 5, the middle of the data set.

The mean and median are very close to each other. One of the modes matches the median. Four others values occur equally as often, three of them close to 26.

The mean and median are close to each other. One of the modes matches the median. Five others values occur equally as often, spread out from the median.


4

upper quartile
4.5
28
45.5
lower quartile
3
23
31.5

5

range
5
11
22
interquartile range
1.5
5
14

6

upper fence
4.5+(1.5)(1.5)=6.75
28+(1.5)(5)=35.5
45.5+(1.5)(14)=66.5
lower fence
3-(1.5)(1.5)=0.75
23-(1.5)(5)=15.5
31.5-(1.5)(14)=10.5
outliers
none
none
none