The box-and-whisker plots shown represent the distribution of basketball team scores for two different teams. Based on the data in the plots, which of the following measures is larger for Team A than for Team B? Select two that apply.

Question

The double box plot shows basketball team scores from 35 to 80 in increments of 5. The box plot for team A has the end of first whisker at 35, the box starts at 45, the line inside the box is at 50, the box ends at 60 and the end of the second whisker is at 75. The box plot for team B has the end of first whisker at 45, the box starts at 55, the line inside the box is at 60, the box ends at 65 and the end of the second whisker is at 80.
A.
Median

B.
Range

C.
Maximum

D.
Interquartile range

Answer 1

To compare the box-and-whisker plots for Team A and Team B, let's first summarize the key statistics displayed in the plots:

Team A

• Minimum: 35
• First Quartile (Q1): 45
• Median (Q2): 50
• Third Quartile (Q3): 60
• Maximum: 75
• Range: 75 - 35 = 40
• Interquartile Range (IQR): Q3 - Q1 = 60 - 45 = 15

Team B

• Minimum: 45
• First Quartile (Q1): 55
• Median (Q2): 60
• Third Quartile (Q3): 65
• Maximum: 80
• Range: 80 - 45 = 35
• Interquartile Range (IQR): Q3 - Q1 = 65 - 55 = 10

Now, let's compare the two teams based on the measures in the options given:

A. Median:

• Team A Median: 50
• Team B Median: 60
• Team A's median is not larger than Team B's.

B. Range:

• Team A Range: 40
• Team B Range: 35
• Team A's range is larger than Team B's.

C. Maximum:

• Team A Maximum: 75
• Team B Maximum: 80
• Team A's maximum is not larger than Team B's.

D. Interquartile Range (IQR):

• Team A IQR: 15
• Team B IQR: 10
• Team A's IQR is larger than Team B's.

Based on the analysis, the measures that are larger for Team A than for Team B are:

B. Range
D. Interquartile range