# Sample/Population Coefficient of Variation Calculator

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

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Find the sample coefficient of variation of $$8$$$, $$7$$$, $$-2$$$, $$6$$$, $$3$$$, $$2$$$.
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 $$\frac{2 \sqrt{14}}{7}\approx 1.0690449676497$$\$A.