Homework Mon 9/24

In class began by creating and analyzing back-to-back stem and leaf plots to compare the amount of cholesterol between hamburgers and chickenburgers from data on pg. 32 and from pg. 33, #1.

Then we examined measures of central tendancy: "What is a typical number".

As a class, we discussed Resistance To Outliers, pg 36, #6. After finding the mean of 13 and median of 4 for a set of numbers {1,2,3,4,5,6, 70} containing an outlier, then modifiying the set of data to one with no outlier {1,2,3,4,5,6,7}, but a symmetric distribution, we found that the mean and median were both 4.

This led to the discovery that:

* the Mean is a measure of center that is sensitive to changes in outliers
* the Median a measure of center that is not very sensitive (resistant) to changes in outliers

We used the graphing calculator to sort lists (ascending or descending order) and to find the mean and median.

For homework, find four data sets using only six single digit numbers from the set {1,2,3,4,5,6,7,8,9} so that:

a) Mean equals Median (mode different)
b) Mean greater than Median
c) Mean less than Median
d) Mean equals Median equals Mode

For some interesting displays of data check out:
http://tools.google.com/gapminder