Free statistics calculator

Coefficient of Variation Calculator

A coefficient of variation calculator measures relative spread by dividing standard deviation by the absolute mean. Enter raw data or summary statistics to get CV, also called relative standard deviation (RSD), with the formula shown.

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Standard deviation type

Relative variability

Coefficient of variation / RSD

Coefficient of variation

4.7063%

Low relative variability

Mean

19.0875

Standard deviation

0.898312

Variance

0.806964

Input basis

8 values

Formula substitution

CV = 0.898312 / |19.0875| x 100 = 4.7063%

Values are tightly clustered relative to the magnitude of the mean.

Coefficient of variation formula

CV (%) = (standard deviation / |mean|) x 100

CV is unitless, so it is useful for comparing relative dispersion across measurements with different units or means. This calculator reports a positive percentage by using the absolute mean.

When CV can mislead

  • Do not use CV when the mean is zero or extremely close to zero.
  • Be cautious with interval scales such as Celsius temperature, where zero is arbitrary.
  • Compare CV values only when measurements and data-generating processes are meaningfully related.
  • Treat the interpretation bands as general guidance, not universal quality thresholds.

Coefficient of variation FAQ

What is coefficient of variation?

Coefficient of variation (CV) measures relative variability by dividing standard deviation by the absolute mean and multiplying by 100. It expresses spread as a percentage of the mean, which helps compare datasets measured on different scales.

How do I calculate coefficient of variation?

Calculate the mean and standard deviation, divide the standard deviation by the absolute mean, then multiply by 100. Use sample standard deviation for a sample and population standard deviation when your data contains the entire population.

Is coefficient of variation the same as relative standard deviation?

Yes. Relative standard deviation (RSD) is another name for coefficient of variation when the ratio is expressed as a percentage. Both use standard deviation divided by the absolute mean times 100.

What is a good coefficient of variation?

A lower CV means less spread relative to the mean, but there is no universal good value. Acceptable variability depends on the field, measurement process, and decision being made, so compare against domain standards or similar datasets.

Can coefficient of variation be used with a zero or negative mean?

CV is undefined when the mean is zero. This calculator accepts a negative mean by using its absolute value in the denominator, but CV can be misleading for interval scales or data whose mean is near zero.

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