Coefficient of Variation Calculator

Calculate coefficient of variation using your data.

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What this tool does

Calculate coefficient of variation using your data. CV is unit-free, so it compares relative spread across data sets with different units or scales. It is only meaningful for ratio-scale data with a genuinely positive mean.

How to use the Coefficient of Variation Calculator

  1. Enter or select numbers (comma or whitespace separated).
  2. Read the calculated result; change any measurement to compare alternatives.

Formula

CV = standard deviation / mean × 100%
data
Numbers (comma or whitespace separated)

CV is unit-free, so it compares relative spread across data sets with different units or scales. It is only meaningful for ratio-scale data with a genuinely positive mean.

Worked example

For coefficient of variation calculator, the following measurements illustrate the exact method: Numbers (comma or whitespace separated): 2,4,4,4,5,5,7,9.

Inputs

  • Numbers (comma or whitespace separated)2,4,4,4,5,5,7,9

Result

  • Coefficient of variation — sample (%)42.76
  • Coefficient of variation — population (%)40
  • Mean5
  • Sample standard deviation2.14

Results explained

Coefficient of variation — sample (%)
Coefficient of variation — sample (%) from the formula above. CV is unit-free, so it compares relative spread across data sets with different units or scales. It is only meaningful for ratio-scale data with a genuinely positive mean.
Coefficient of variation — population (%)
Coefficient of variation — population (%) from the formula above. CV is unit-free, so it compares relative spread across data sets with different units or scales. It is only meaningful for ratio-scale data with a genuinely positive mean.
Mean
Mean from the formula above. CV is unit-free, so it compares relative spread across data sets with different units or scales. It is only meaningful for ratio-scale data with a genuinely positive mean.
Sample standard deviation
Sample standard deviation from the formula above. CV is unit-free, so it compares relative spread across data sets with different units or scales. It is only meaningful for ratio-scale data with a genuinely positive mean.

Frequently asked questions

CV = standard deviation / mean × 100%

CV is unit-free, so it compares relative spread across data sets with different units or scales. It is only meaningful for ratio-scale data with a genuinely positive mean.

Enter numbers only, in the units and format each label describes. Remove missing values rather than substituting zero, unless zero is a real observation.

No. Results describe the numbers you entered. Statistical inference also depends on sampling design, independence, model fit and interpretation; a p-value is not the probability that a hypothesis is true.

No. Every calculation, including the distribution algorithms, runs entirely in your browser.