The

**relative standard deviation**of a set of numbers is a special form of the standard deviation. It is calculated as:**Relative standard deviation:**100 * (s / x)

where

*s*is the sample standard deviation and x is the sample mean.The relative standard deviation is useful because it tells you whether the sample standard deviation is small or large

*relative*to the sample mean.To find the relative standard deviation for a set of values, simply enter the comma-separated values in the box below and then click the “Calculate” button.

Relative standard deviation = **42.00%**

**Explanation**

Sample standard deviation (s) = 12.81075

Sample mean = 30.50000

Relative standard deviation = 12.81075 / 30.50000 = **42.00%**