Coefficient of Variation Calculator

Calculate the relative variability (dispersion) of your data, expressed as a percentage.

What is Coefficient of Variation?

The coefficient of variation (CV) is a standardized measure of dispersion that expresses the standard deviation as a percentage of the mean. It's particularly useful when comparing the variability of datasets with different units or vastly different means.

Formula

CV = (σ / μ) × 100%

Where σ = standard deviation and μ = mean

Interpretation Guidelines

  • CV < 15%: Low variability - data points are relatively consistent
  • CV 15-30%: Moderate variability - reasonable dispersion around the mean
  • CV > 30%: High variability - data points are widely spread

Common Use Cases

  • Comparing consistency: Compare variability across datasets with different units (e.g., height in cm vs weight in kg)
  • Quality control: Assess the reliability and consistency of manufacturing processes
  • Investment analysis: Compare risk relative to expected return across different investments
  • Method comparison: Evaluate which measurement technique produces more consistent results
  • Assessing reliability: Determine if measurement instruments produce consistent readings

When to Use

Use the coefficient of variation when you want to compare variability across:

  • Datasets with different measurement units
  • Variables with vastly different means
  • Multiple groups or conditions

Note: CV is only meaningful for ratio-scale data (where zero indicates absence of the quantity). It should not be used with interval data (like temperature in Celsius) or when the mean is close to zero.