Coefficient of Variation Calculator

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Standard Deviation

About This Calculator

Coefficient of Variation Calculator

The coefficient of variation (CV) expresses the standard deviation relative to the mean. It is useful when comparing the relative variability of measurements, especially when datasets have different means.

When to Use It

Comparing variability between datasets with different means
Reporting relative variation in experimental or observational data
Assessing variability in measurements or repeated observations
Comparing precision when the measurement scales are comparable and the mean is meaningful

The Formula

\[ CV = \frac{SD}{|\bar{X}|}\times 100\% \]

Worked Example

Suppose a sample has a mean of 20 and a standard deviation of 4.

Mean: \( \bar{X} = 20 \)
Standard deviation: \( SD = 4 \)
Divide the standard deviation by the absolute mean: \( 4 / |20| = 0.20 \)
Convert to a percentage: \( 0.20 \times 100 = 20\% \)
The coefficient of variation is 20%.

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Coefficient of Variation Calculator

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