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

##### 1 Answer

Jan 31, 2015

Since standard deviation

In your case this would be 49.

The **variance** is the sum of all the squared differences from the mean, divided by the number of cases. One reason it's squared (but not the only one), is to avoid

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).

That's why we take the square root of the variance to get

**Summary**