Question

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

Explanation:

Step1: Recall IQR definition

IQR is the length of the box in box - and - whisker plot, calculated as $Q_3 - Q_1$ (third quartile - first quartile).

Step2: Measure IQR for Athlete A

For Athlete A, $Q_1\approx17$, $Q_3\approx30$, so $IQR_A=30 - 17 = 13$.

Step3: Measure IQR for Athlete B

For Athlete B, $Q_1\approx15$, $Q_3\approx35$, so $IQR_B=35 - 15 = 20$.

Step4: Compare IQRs

Since $20>13$, Athlete B has a larger IQR.

Step5: Identify shortest training ride

The left - most point of the whisker represents the minimum value. Athlete A has the left - most point closer to 5, so Athlete A had the shortest training ride.

Answer:

(a) Athlete B
(b) Not applicable as no such sub - question was fully presented in description
(c) Athlete A