Sample/Population Coefficient of Variation Calculator

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

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Your Input

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

Answer

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