STATS:DATA+MODELS-W/DVD
STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 3, Problem 1E
To determine

Explain some limitations using boxplot to describe the shape of the distribution.

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Explanation of Solution

The given information is that, the histograms for four manufactured sets of numbers which have the same 5-number summary and the boxplot for all four sets are identical to the one shown.

Boxplot:

In the boxplot, the vertical lines of the center box represent the quartiles of the distribution. The left end of the box is the first quartile, the middle one is median and the right end of the box is third quartile

From the boxplot it is observed that, the box and whisker are more extended to the right side hence the distribution is skewed right.

Here the boxplot doesn’t tell much about distribution except for the skewness. All of the four data sets have single mode, which is exhibited through the box plot. Using the boxplot it is possible to discuss about dispersion, however, it is not possible to explain about the measure of central tendency of the four data sets.

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