Question

you can measure the amount of overlap of two data sets by comparing the distance between the medians to the iqr.1. what is the difference in the medians?4 minutes2. the iqr for both rides is 5 minutes.3. express the difference in the medians as a multiple of the iqr.4. the difference in the medians is ____ times the iqr.

Explanation:

Step1: Identify median of Free Flyer

From the box plot, the median (line inside the box) for Free Flyer is 12 minutes.

Step2: Identify median of Steel Thunder

From the box plot, the median for Steel Thunder is 16 minutes.

Step3: Calculate difference in medians

Subtract the smaller median from the larger one.
$\text{Difference} = 16 - 12 = 4$

Step4: Find ratio to IQR

The IQR is given as 5 minutes. Calculate $\frac{\text{Difference in medians}}{\text{IQR}}$.
$\frac{4}{5} = 0.8$

Answer:

1. The difference in the medians is $\boldsymbol{4}$ minutes.
2. The difference in the medians as a multiple of the IQR is $\boldsymbol{0.8}$ times the IQR.