jefferson middle school recycled cans\nwest side middle school recycled cans\nwest side middle school and…

jefferson middle school recycled cans\nwest side middle school recycled cans\nwest side middle school and jefferson middle school recycled cans and kept track of how many pounds of cans each student collected. use the drop - down menus to answer the questions.\nwhat is the interquartile range of jefferson middle school cans recycled?\nwhat is the interquartile range of west side middle school cans recycled?\nwhich school had a greater variability in their middle 50 percent?

jefferson middle school recycled cans\nwest side middle school recycled cans\nwest side middle school and jefferson middle school recycled cans and kept track of how many pounds of cans each student collected. use the drop - down menus to answer the questions.\nwhat is the interquartile range of jefferson middle school cans recycled?\nwhat is the interquartile range of west side middle school cans recycled?\nwhich school had a greater variability in their middle 50 percent?

Answer

Explanation:

Step1: Recall inter - quartile range formula

The inter - quartile range (IQR) is $IQR = Q_3 - Q_1$, where $Q_1$ is the first quartile and $Q_3$ is the third quartile.

Step2: Find IQR for Jefferson Middle School

For Jefferson Middle School, from the box - and - whisker plot, $Q_1 = 4$ and $Q_3 = 8$. Then $IQR_{Jefferson}=8 - 4=4$.

Step3: Find IQR for West Side Middle School

For West Side Middle School, from the box - and - whisker plot, $Q_1 = 3$ and $Q_3 = 7$. Then $IQR_{West\ Side}=7 - 3 = 4$.

Step4: Compare variabilities

Since $IQR_{Jefferson}=4$ and $IQR_{West\ Side}=4$, both schools have the same variability in their middle 50 percent.

Answer:

What is the interquartile range of Jefferson Middle School cans recycled? 4 What is the interquartile range of West Side Middle School cans recycled? 4 Which school had a greater variability in their middle 50 percent? Neither (same variability)