# If the standard deviation of a distribution is s = 7, what is its variance?

Since variance is a squared unit, it would give funny results, for instance if you measure height in meters. The variance would then be in square meters (and it is).

Summary

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The variance of a distribution is equal to the square of its standard deviation. Therefore, to find the variance (( \sigma^2 )) of a distribution when the standard deviation (( s )) is known, you square the value of the standard deviation. In this case, since ( s = 7 ), the variance is ( \sigma^2 = 7^2 = 49 ). Thus, the variance of the distribution is ( 49 ).

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