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Chapter 12: Q. AP4.33 (page 833)

AP4.33 Here are boxplots of SAT Critical Reading and Math scores for a randomly selected group of female juniors at a highly competitive suburban school:

Which of the following cannot be justified by the plots?
a. The maximum Critical Reading score is greater than the maximum Math score.
b. Critical Reading scores are skewed to the right, whereas Math scores are somewhat skewed to the left.
c. The median Critical Reading score and the median Math score for females are about the same.
d. There appear to be no outliers in the distributions of SAT Critical Reading score.
e. The mean Critical Reading score and the mean Math score for females are about the same.

Short Answer

Expert verified

The correct answer is option (e) The mean Critical Reading score and the mean Math score for females are about the same.

Step by step solution

01

Given information

To determine that which of the options cannot be justified by the plots.

02

Explanation

The boxplots of SAT critical reading and math scores are provided in the question.
Hence, by examining the plots, it is conceivable to make the assumption that
Option (a) is justified since the top boxplot's right whisker ends more to the right than the bottom boxplot's right whisker.
Option (b) is justified since the right whisker on the top boxplot is taller than the left whisker and the right whisker on the bottom boxplot is shorter than the left whisker.
Option (c) can be justified. Because the line in the middle of the top boxplot is closer to the right than the line in the middle of the lower boxplot.
Option (d) is justified because the boxplots do not contain any X symbols that signify outliers.
Option (e) is unjustifiable because boxplots do not include data on the mean.
As a result, option (e) is the correct option.

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