Question

which statement is true about the box plots? number of incorrect questions on exams marcs 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 = maximum - minimum. Inter - quartile range (IQR)=Q3 - Q1.

Step2: Analyze Sue's class box - plot

For Sue's class, the minimum is 0, the maximum is 12. So the range is 12 - 0=12. The first quartile (Q1) is 4, the third quartile (Q3) is 9. So the IQR is 9 - 4 = 5.

Step3: Analyze Marc's class box - plot

For Marc's class, the minimum is 1, the maximum is 10. So the range is 10 - 1=9. The first quartile (Q1) is 3, the third quartile (Q3) is 7. So the IQR is 7 - 3 = 4.

Step4: Compare ranges and IQRs

The ranges (12 and 9) are different and the IQRs (5 and 4) are different.

Answer:

Neither the ranges nor the interquartile ranges for the data sets are the same.