# Sample/Population Coefficient of Variation Calculator

## Calculate sample/population coefficient of variation step by step

For the given data set, the calculator will find the sample or the population coefficient of variation (CV), with steps shown.

Comma-separated.

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Find the sample coefficient of variation of $8$, $7$, $-2$, $6$, $3$, $2$.

### Solution

The sample coefficient of variation of data is given as the ratio of the sample standard deviation $s$ to the mean $\mu$: $c_{v} = \frac{s}{\mu}$.

The mean of the data is $\mu = 4$ (for steps, see mean calculator).

The population standard deviation of the data is $\sigma = \sqrt{14}$ (for steps, see standard deviation calculator).

Finally, $c_{v} = \frac{4}{\sqrt{14}} = \frac{2 \sqrt{14}}{7}$.

The sample coefficient of variation is $\frac{2 \sqrt{14}}{7}\approx 1.069044967649698$A.