Which dispersion measure is the square of the standard deviation?

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Multiple Choice

Which dispersion measure is the square of the standard deviation?

Explanation:
The square of the standard deviation is called the variance. This comes from the definition: standard deviation is the square root of variance, so when you square the standard deviation you retrieve the variance. Variance measures the average of squared deviations from the mean, which is why it ends up in squared units, whereas standard deviation remains in the original units. The range and variation ratio describe dispersion in other ways and aren’t related to squaring the standard deviation. So the dispersion measure that equals the square of the standard deviation is variance.

The square of the standard deviation is called the variance. This comes from the definition: standard deviation is the square root of variance, so when you square the standard deviation you retrieve the variance. Variance measures the average of squared deviations from the mean, which is why it ends up in squared units, whereas standard deviation remains in the original units. The range and variation ratio describe dispersion in other ways and aren’t related to squaring the standard deviation. So the dispersion measure that equals the square of the standard deviation is variance.

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