Question

these box plots show the basketball scores for two teams. bulldogs 55 70 80 90 105 tigers 55 60 65 85 110 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 basketball scores which statement is the most appropriate comparison of the spreads? a. the median for the bulldogs, 80, is more than the median for the tigers, 65. b. the interquartile range (iqr) for the bulldogs, 20, is less than the iqr for the tigers, 25. c. the range for the bulldogs, 20, is less than the range for the tigers, 25. d. the interquartile ranges (iqrs) for the bulldogs and tigers are both 55.

Explanation:

Step1: Recall range and IQR formulas

Range = Max - Min, IQR = Q3 - Q1

Step2: Find range and IQR for Bulldogs

For Bulldogs: Min = 55, Q1 = 70, Q3 = 90, Max = 105. Range = 105 - 55 = 50, IQR = 90 - 70 = 20

Step3: Find range and IQR for Tigers

For Tigers: Min = 55, Q1 = 65, Q3 = 90, Max = 110. Range = 110 - 55 = 55, IQR = 90 - 65 = 25

Step4: Analyze each option

A is about medians not spreads. C has wrong range values for both. D has wrong IQR values. B is correct as IQR of Bulldogs (20) < IQR of Tigers (25)

Answer:

B. The interquartile range (IQR) for the Bulldogs, 20, is less than the IQR for the Tigers, 25.