Calculating your coefficient of variation is straightforward once you know the Coefficient of Variation formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Coefficient of Variation Calculator.
What is Coefficient of Variation?
The Coefficient of Variation calculation tells you your coefficient of variation from a few simple inputs. The figure you are solving for here is the coefficient of variation, expressed in percent.
The Coefficient of Variation formula
The core formula is:
Coefficient of variation = Standard deviation ÷ Mean × 100Here is what each input means:
- Standard deviation — a number. Example: 15.
- Mean — a number. Example: 100.
How to calculate it step by step
- Write down the standard deviation (for example, 15).
- Write down the mean (for example, 100).
- Apply the formula above to get your coefficient of variation.
- Double-check the result with the Coefficient of Variation Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Standard deviation | 15 |
| Mean | 100 |
| Coefficient of variation | 15.00% |
With standard deviation of 15 and mean of 100, the coefficient of variation works out to 15.00%.
Example 2
With standard deviation of 30 and mean of 100, the coefficient of variation works out to 30.00%.
| Result | Value |
|---|---|
| Coefficient of variation | 30.00% |
Example 3
With standard deviation of 7.5 and mean of 100, the coefficient of variation works out to 7.50%.
| Result | Value |
|---|---|
| Coefficient of variation | 7.50% |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the Coefficient of Variation Calculator does it instantly, for free, with the formula and a worked example built in.
Related calculators
Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Regular Heptagon Area Calculator, Odds to Probability Calculator.