Question

6 of 23

Next

33:17

Westfield

Eastfield

36

26

38

23

36

23

22

28

19

26

23

20

17

27

25

23

28

28

19

27

The table shows the number of wins of two high school softball teams over the past ten years. Which statement BEST compares the interquartile range
(IQR) of the two sets of data?

×

A

Eastfield's data shows less variability, since Eastfield's IQR is 2.625 times greater than Westfield's IQR.

B

Westfield's data shows less variability, since Westfield's IQR is 2.625 times greater than Eastfield's IQR.

C

Eastfield's data shows greater variability, since Eastfield's IQR is 4.25 times greater than Westfield's IQR.

×

D

Westfield's data shows greater variability, since Westfield's IQR is 4.25 times greater than Eastfield's IQR.

Answer 1

Sort each list.
- Westfield: 17, 19, 19, 22, 23, 25, 28, 36, 36, 38. Q1 = 19, Q3 = 36 → IQR = 36 − 19 = 17.
- Eastfield: 20, 23, 23, 23, 26, 26, 27, 27, 28, 28. Q1 = 23, Q3 = 27 → IQR = 27 − 23 = 4.

Westfield’s IQR (17) is 17/4 = 4.25 times Eastfield’s, so D is correct.