Question

athlete a
athlete b
distance (in miles)
(a) which athlete had a greater median distance?
select
(b) which athlete had distances with a larger interquartile range (iqr)?
select
(c) which athlete had a smaller range of distances?
select
(d) which athlete went on the shortest training ride?
select

Explanation:

Step1: Identify median from box - plot

The line inside the box of a box - plot represents the median. For Athlete A, the median is around 20. For Athlete B, the median is around 25. So Athlete B has a greater median.

Step2: Calculate inter - quartile range (IQR)

The IQR is the length of the box in a box - plot. For Athlete A, the box extends from approximately 15 to 30, so IQR = 30 - 15=15. For Athlete B, the box extends from approximately 20 to 25, so IQR = 25 - 20 = 5. So Athlete A has a larger IQR.

Step3: Calculate range

The range is the difference between the maximum and minimum values. For Athlete A, the minimum is around 10 and the maximum is around 40, so range = 40 - 10 = 30. For Athlete B, the minimum is around 10 and the maximum is around 30, so range = 30 - 10 = 20. So Athlete B has a smaller range.

Step4: Identify minimum value

The left - most point of the whisker represents the minimum value. Both athletes have their minimum value at around 10, but we assume from the plot that Athlete A has the exact minimum value. So Athlete A went on the shortest training ride.

Answer:

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