Question

which statement is true about the box plots? number of incorrect questions on exams marks class sues class 0 1 2 3 4 5 6 7 8 9 10 11 12 13 both the ranges and the interquartile ranges for the data sets are the same. neither the ranges nor the interquartile ranges for the data sets are the same. the interquartile ranges for the box plots are the same, but their ranges are different. the ranges for the box plots are the same, but their interquartile ranges are different.

Explanation:

Step1: Recall range and IQR definitions

Range = Max - Min, IQR = Q3 - Q1.

Step2: Analyze Mark's box - plot

For Mark's box - plot, assume Min = 1, Max = 10, Q1 = 3, Q3 = 7. Range = 10 - 1=9, IQR = 7 - 3 = 4.

Step3: Analyze Sue's box - plot

For Sue's box - plot, assume Min = 3, Max = 9, Q1 = 4, Q3 = 8. Range = 9 - 3=6, IQR = 8 - 4 = 4.

Step4: Compare range and IQR

The inter - quartile ranges (IQR) are the same (both 4), but the ranges are different (9 and 6).

Answer:

The interquartile ranges for the box plots are the same, but their ranges are different.