Question

The golf scores of the players on two golf teams, Team A and Team B, are listed in order from lowest to highest below.

Team A: 65, 67, 67, 68, 70, 70, 70, 71, 74, 77, 78, 78, 81, 81, 82
Team B: 63, 65, 67, 68, 70, 70, 71, 73, 74, 77, 77, 77, 78, 81, 84

Which of the following statements is a correct comparison of Team B to Team A?
A.
Team B has a larger median and a smaller interquartile range.

B.
Team B has a larger median and the same interquartile range.

C.
Team B has a smaller median and a larger interquartile range.

D.
Team B has a smaller median and the same interquartile range.

Answer 1

Median of each team (15 players each) is the 8th value:
- Team A median = 71
- Team B median = 73 (larger)

Q1 is median of the lower 7 values (position 4 of 1–7), Q3 is median of the upper 7 values (position 4 of 9–15):
- Team A: Q1 = 68, Q3 = 78, IQR = 78 − 68 = 10
- Team B: Q1 = 68, Q3 = 77, IQR = 77 − 68 = 9 (smaller)

So Team B has a larger median and a smaller interquartile range. Answer: A.