Coefficient of Variation

The coefficient of variation is the ratio between the standard deviation of a sample and its mean.

Coefficient of Variation Formula

The coefficient of variation is usually expressed in percentages:

Coefficient of Variation

It allows us to compare the dispersions of two different distributions if their means are positive.

The coefficient of variation for a distribution can be calucated to compare the values obtained with another distribution.

The greater dispersion corresponds to the value of the coefficient of greater variation.

Example

A distribution is x = 140 and σ = 28.28 and the other is x = 150 and σ = 24. Which of the two has a greater dispersion?

Coefficient of Variation Example

Coefficient of Variation Example

The first distribution has a higher dispersion.