Chapter 12, Problem AP4.33CPT

To determine

To find out which of the following cannot be justified by the plots.

Answer to Problem AP4.33CPT

Option (e) is the correct option.

Explanation of Solution

In the question, the boxplots are given of SAT critical reading and math score. Thus, by looking at the plots we can say that,

Option (a) can be justified, because the right whisker of the top boxplot ends more to the right than the right whisker of the bottom boxplot.

Option (b) can be justified, because the right whisker of the top boxplot is longer than the left whisker and the right whisker of the bottom boxplot is smaller than the left whisker.

Option (c) can be justified, because the line in the middle top boxplot is more to the right of the line in the middle of the bottom boxplot.

Option (d) can be justified, because there are no X symbols in the boxplots which represent the outliers.

Option (e) cannot be justified because boxplots do not contain information about the mean.

Thus, option (e) is the correct option.