1. **State the problem:** We compare two athletes' training ride distances using box-and-whisker plots with given five-number summaries. 2. **Recall the five-number summary:** minimum, first quartile (Q1), median (Q2), third quartile (Q3), maximum. 3. **Given data:** - Athlete A: min=11, Q1=15, median=17, Q3=21, max=25 - Athlete B: min=9, Q1=15, median=20, Q3=21, max=31 4. **(a) Which athlete went on more rides longer than 15 miles?** - Distances longer than 15 miles are above Q1. - For Athlete A, rides longer than 15 miles are between 15 and 25. - For Athlete B, rides longer than 15 miles are between 15 and 31. - Since Athlete B's maximum is higher, and the upper whisker is longer, Athlete B likely had more rides longer than 15 miles. 5. **(b) Which athlete had a larger interquartile range (IQR)?** - IQR = Q3 - Q1 - Athlete A: IQR = 21 - 15 = 6 - Athlete B: IQR = 21 - 15 = 6 - Both have the same IQR. 6. **(c) Which athlete had a greater median distance?** - Athlete A median = 17 - Athlete B median = 20 - Athlete B has a greater median. 7. **(d) Which athlete went on the shortest training ride?** - Athlete A min = 11 - Athlete B min = 9 - Athlete B had the shortest ride. **Final answers:** (a) Athlete B (b) Both have the same IQR (c) Athlete B (d) Athlete B