Question

jefferson middle school recycled cans
west side middle school recycled cans
west 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.
what is the interquartile range of jefferson middle school cans recycled?
what is the interquartile range of west side middle school cans recycled?
which school had a greater variability in their middle 50 percent? jefferson middle school west side middle school they are the same. this information cannot be determined.

Explanation:

Step1: Recall inter - quartile range formula

$IQR = Q_3 - Q_1$, where $Q_1$ is the first quartile and $Q_3$ is the third quartile.

Step2: For Jefferson Middle School

From the box - and - whisker plot, $Q_1 = 4$, $Q_3 = 8$. Then $IQR_{Jefferson}=8 - 4=4$.

Step3: For West Side Middle School

From the box - and - whisker plot, $Q_1 = 3$, $Q_3 = 7$. Then $IQR_{WestSide}=7 - 3 = 4$.

Step4: Compare variabilities

Since $IQR_{Jefferson}=4$ and $IQR_{WestSide}=4$, the variabilities in the middle 50 percent are the same.

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? They are the same.