Question

using box - and - whisker plots to compare data sets
distance (in miles)
(a) which athlete had distances with a larger interquartile range (iqr)?
athlete b
(b) which athlete had a smaller range of distances?
both had the same range
(c) which athlete went on the shortest training ride?
athlete a
(d) which athlete had a greater median distance?
select

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the length of the box represents the IQR, the difference between the maximum and minimum values represents the range, the left - most point is the minimum value (shortest training ride), and the line inside the box is the median.

Step2: Analyze IQR

By observing the box lengths of the box - and - whisker plots of the two athletes, we can see that the box for Athlete B is longer, so Athlete B has a larger IQR.

Step3: Analyze range

Find the maximum and minimum values for each athlete. If the difference (maximum - minimum) is the same for both, they have the same range.

Step4: Analyze shortest training ride

The left - most point on the box - and - whisker plot represents the minimum value. Since the left - most point for Athlete A is to the left of that for Athlete B, Athlete A had the shortest training ride.

Step5: Analyze median

Locate the line inside each box. Compare the positions of these lines on the number line to determine which athlete has a greater median.

Answer:

(a) Athlete B
(b) both had the same range
(c) Athlete A
(d) [No answer given in the question, but follow the step of comparing the position of the median - lines in the boxes of the box - and - whisker plots of Athlete A and Athlete B to determine]