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.
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.