Question

two athletes are training for a cycling race. each athlete recorded the distances (in miles) of his previous 60 training rides. the box - and - whisker plots below (sometimes called boxplots) summarize the distances recorded for each athlete. use the box - and - whisker plots to answer the questions. (a) which athlete went on more rides longer than 34 miles? select (b) which athlete had a greater median distance? select (c) which athlete went on the shortest training ride? select (d) which athlete had distances with a larger interquartile range (iqr)? select

Explanation:

Step1: Understand box - and - whisker plot

In a box - and - whisker plot, the box represents the inter - quartile range (IQR), the line inside the box is the median, and the whiskers extend to the minimum and maximum values.

Step2: Answer (a)

For values greater than 34 miles, we look at the part of the plot to the right of 34. Athlete B has more data points (longer whisker and part of the box) to the right of 34. So Athlete B went on more rides longer than 34 miles.

Step3: Answer (b)

The median is the line inside the box. The median of Athlete A is around 30 and the median of Athlete B is around 27. So Athlete A has a greater median distance.

Step4: Answer (c)

The left - most point of the whisker represents the shortest training ride. Athlete B has a shorter left - most point. So Athlete B went on the shortest training ride.

Step5: Answer (d)

The IQR is the length of the box. The box of Athlete A has a smaller length compared to the box of Athlete B. So Athlete B has a larger inter - quartile range.

Answer:

(a) Athlete B
(b) Athlete A
(c) Athlete B
(d) Athlete B