Question

question 7 of 25
these box plots show the basketball scores for two teams.

bulldogs
55 70 80 90 105
wolverines
35 55 80 85 96
30 35 40 45 50 55 60 65 70 75 78 80 85 90 95 100 105 110
basketball scores

which statement is the most appropriate comparison of the
spreads?

a. the interquartile ranges (iqrs) for the bulldogs and
wolverines are both 80.

b. the range for the bulldogs, 20, is less than the range for
the wolverines, 30.

c. the median for the bulldogs, 80, is the same as the
median for the wolverines, 80.

d. the interquartile range (iqr) for the bulldogs, 20, is less
than the iqr for the wolverines, 30.

Explanation:

Step1: Recall Box Plot Metrics

For box plots, range = max - min, IQR = Q3 - Q1, median is the middle line. We analyze each option:

Step2: Analyze Option A

Bulldogs: Q1=70, Q3=90, IQR=90 - 70 = 20. Wolverines: Q1=55, Q3=85, IQR=85 - 55 = 30. Not both 80. Eliminate A.

Step3: Analyze Option B

Bulldogs range: 105 - 55 = 50. Wolverines range: 96 - 35 = 61. 50 < 61, but B says Bulldogs range 20, Wolverines 30. Incorrect. Eliminate B.

Step4: Analyze Option C

Median comparison is about central tendency, not spread. The question is about spreads. Eliminate C.

Step5: Analyze Option D

Bulldogs IQR: 90 - 70 = 20. Wolverines IQR: 85 - 55 = 30. So Bulldogs' IQR (20) < Wolverines' IQR (30). Correct.

Answer:

D. The interquartile range (IQR) for the Bulldogs, 20, is less than the IQR for the Wolverines, 30.