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Chapter 1: Q 1.4. (page 55)

Here, once again, is the stem plot of travel times to work for 20randomly selected New Yorkers. Earlier, we found that the median was 22.5minutes.

Would the mean or the median be a more appropriate summary of the center of this distribution of drive times? Justify your answer.

Short Answer

Expert verified

The median would be an appropriate measure of the center as the provided distribution is skewed.

Step by step solution

01

Given information

As per the provided information, the Median is 22.5minutes.

The number of observations :20

02

Concept

The median is the most relevant indicator of central tendency for skewed or outlier-filled distributions. The median is widely used as a measure of central tendency in highly skewed income distributions, for example.

03

Explanation

The following is a justification for mean or median being a better summary of the center of this distribution of drive times: For unimodal symmetric distributions, the mean even is a natural measure. For skewed distributions with outliers, it may be misleading; therefore, the median is a better alternative.

The median will be a better measure of the center because the distribution is skewed.

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