# Coefficient of Variation Calculator

## How To Use Coefficient of Variation Calculator

Lets first understand, what is Coefficient of Variation (CV) and how we can calculate Coefficient of Variation?

In probability theory and statistics, the coefficient of variation (CV) is a standardized measure of dispersion of a probability distribution or frequency distribution.

It is often expressed as a percentage, and is defined as the ratio of the standard deviation $$\sigma$$ to the mean $$\mu$$.

Coefficient of Variation Calculation:

Let the set of n terms be x1, x2, x3, x4, x5, ......, xn.

$$Mean(\mu) = \frac{1}{n}\sum_{i=1}^n x_i$$ $$\mu= \frac{1}{n}(x_1 + x_2 + x_3 + ... + x_n)$$ $$\sigma = \sqrt{\frac{1}{n}\sum_{i=1}^n (x_i\hspace{0.1cm}-\hspace{0.1cm}\mu)^2}$$ $$Coefficient\hspace{0.1cm}of\hspace{0.1cm}Variation = \frac{\sigma}{\mu}$$