which statement is true about the box plots?\nnumber of incorrect questions on exams\nmarcs class\nsues…

which statement is true about the box plots?\nnumber of incorrect questions on exams\nmarcs class\nsues class\n0 1 2 3 4 5 6 7 8 9 10 11 12 13\nboth the ranges and the interquartile ranges for the data sets are the same.\nneither the ranges nor the interquartile ranges for the data sets are the same.\nthe interquartile ranges for the box plots are the same, but their ranges are different.\nthe ranges for the box plots are the same, but their interquartile ranges are different.

which statement is true about the box plots?\nnumber of incorrect questions on exams\nmarcs class\nsues class\n0 1 2 3 4 5 6 7 8 9 10 11 12 13\nboth the ranges and the interquartile ranges for the data sets are the same.\nneither the ranges nor the interquartile ranges for the data sets are the same.\nthe interquartile ranges for the box plots are the same, but their ranges are different.\nthe ranges for the box plots are the same, but their interquartile ranges are different.

Answer

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum For Marc's Class: Maximum = 10, Minimum = 2, so Range = 10 - 2=8 For Sue's Class: Maximum = 12, Minimum = 2, so Range = 12 - 2 = 10

Step2: Recall inter - quartile range formula

IQR = Q3 - Q1 For Marc's Class: Q1 = 4, Q3 = 8, so IQR = 8 - 4 = 4 For Sue's Class: Q1 = 5, Q3 = 9, so IQR = 9 - 5 = 4

Answer:

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