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Chapter 3: Q 3.58. (page 113)

Why is the standard deviation preferable to the range as a measure of variation.

Short Answer

Expert verified

The standard deviation, unlike the range, takes into consideration all of the observations. As a result, when the mean is employed as the measure of center, it is preferred as a measure of variation, and the standard deviation is a better measure of variance to the range.

Step by step solution

01

Step 1. Given information.  

We have a statement: Why is the standard deviation preferable to the range as a measure of variation.

02

Step 2.Explain why is the standard deviation a better measure of variation than the range?

In discrepancy to the range, the standard deviation takes into account all the observations. Thus, it's the preferred measure of variation when the mean is used as the measure of center and hence the standard deviation is better to measure of variation in the range.

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