Question

algebra i b-cr
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 = $10 - 1 = 9$

Step2: Calculate Sue's Class range

Range = Max - Min = $12 - 3 = 9$

Step3: Calculate Marc's Class IQR

IQR = Q3 - Q1 = $9 - 3 = 6$

Step4: Calculate Sue's Class IQR

IQR = Q3 - Q1 = $10 - 5 = 5$

Step5: Compare ranges and IQRs

Ranges are equal; IQRs differ.

Answer:

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