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Coefficient of Variation Calculator

Coefficient of variation calculator finds the coefficient of variation by taking the range of values as input. If you are wondering how to calculate coefficient of variation, then, stop being too curious, because we are going to elaborate all that in next sections.

What is coefficient of variation?

In statistics, coefficient of variation is the ratio of standard deviation to mean. It is a measure of relative variability. It is also known as relative standard deviation. The higher coefficient of variation (CV) depicts the greater dispersion around mean.

Coefficient of variation formula

The formula for CV can be expressed as:

CV = σ/μ

Where,

CV = Coefficient of variation,

σ = Standard deviation, and

μ = Sample mean.

How to find coefficient of variation?

Here is the example to find CV.

Example:

Find the coefficient of variation for the sample 2, 4, 6, 8, 10.

Solution:

Step 1: Calculate the sample mean.

μ = ∑x/n = (2+4+6+8+10)/5

μ = 6

Step 2: Calculate standard deviation using the below formula.

Standard deviation formula

SD calculation

 

σ =√ (40/ (5-1))

σ = 3.16

Step 3: Place the values in CV formula.

CV = σ/μ = 3.16/6

CV = 0.5271

Use CV calculator to save your time if you don’t like to play with formulas and equations.


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