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 range for Marc's class

Range = Max - Min. For Marc's class, Max = 12, Min = 1, so Range = 12 - 1=11.

Step2: Calculate range for Sue's class

For Sue's class, Max = 12, Min = 3, so Range = 12 - 3 = 9.

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

Q1 for Marc's class is 3, Q3 is 9. IQR = Q3 - Q1 = 9 - 3=6.

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

Q1 for Sue's class is 5, Q3 is 11. IQR = Q3 - Q1 = 11 - 5 = 6.

Answer:

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