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: Calculate Marc's class range

Range = Max - Min. For Marc's class, Max = 12, Min = 2. Range = 12 - 2 = 10.

Step2: Calculate Sue's class range

For Sue's class, Max = 13, Min = 3. Range = 13 - 3 = 10.

Step3: Calculate Marc's class inter - quartile range (IQR)

IQR = Q3 - Q1. For Marc's class, Q1 = 4, Q3 = 9. IQR = 9 - 4 = 5.

Step4: Calculate Sue's class inter - quartile range (IQR)

For Sue's class, Q1 = 5, Q3 = 10. IQR = 10 - 5 = 5.

Answer:

Both the ranges and the interquartile ranges for the data sets are the same.