Lesson: Comparing Two Distributions Using Box Plots Mathematics

In this lesson, we will learn how to compare distributions of multiple data sets using their statistics as well as their visual representations.

Lesson Plan

Students will be able to

calculate the mean and standard deviation of data sets when given the first and second moments and use them to compare distributions of the data sets,
calculate the median and quartiles of data sets and use them to compare distributions of the data sets,
understand that the use of median and quartiles is preferred when extreme values are present,
construct side-by-side box plots when given multiple data sets and compare distributions of the data sets,
compare two data sets given their cumulative frequency diagrams on the same grid.