Question

a car - rental agency has two locations in a city. the boxplots below summarize the miles driven for one - day of single - day car rentals at each location. based on the boxplots, which statement provides the best comparison of the two locations? a. the number of single - day rentals is greater for location a than for location b. b. the number of single - day rentals is less for location a than for location b. c. compared with location a, the miles driven for location b display more variability, and the median is greater. d. compared with location a, the miles driven for location b display less variability, and the median is greater. e. compared with location a, the miles driven for location b display less variability, and the median is about the same.

Explanation:

Step1: Analyze box - plots for median

The median is the line inside the box of a box - plot. Visually, the medians of the two box - plots (for location A and location B) are at approximately the same level on the miles - driven axis.

Step2: Analyze box - plots for variability

The inter - quartile range (IQR, the length of the box) and the range (from minimum to maximum) are measures of variability. The box and the overall range for location B are smaller than those for location A, indicating less variability for location B.

Answer:

E. Compared with location A, the miles driven for location B display less variability, and the median is about the same.