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? they are the same.

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: Analyze Jefferson Middle School box - plot

For Jefferson Middle School, from the box - plot, $Q_1 = 4$ and $Q_3 = 8$.

Step3: Calculate IQR for Jefferson Middle School

$IQR_{Jefferson}=8 - 4=4$.

Step4: Analyze West Side Middle School box - plot

For West Side Middle School, from the box - plot, $Q_1 = 3$ and $Q_3 = 6$.

Step5: Calculate IQR for West Side Middle School

$IQR_{WestSide}=6 - 3 = 3$.

Step6: Compare IQRs

Since $4>3$, Jefferson Middle School has a greater inter - quartile range (variability in the 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? 3
Which school had a greater variability in their middle 50 percent? Jefferson Middle School