Coefficient of Variation Calculator
Calculate the coefficient of variation (CV) as a percentage for any dataset. Compare relative variability across different scales.
Comma-separated numbers, e.g. 10, 12, 14, 16, 18.
Coefficient of variation
22.5877%
Std. deviation ÷ mean × 100
Standard deviation
3.1623
Mean
14
5 values
CV is a unit-free measure of spread, so you can compare variability across datasets with different units or scales.
Coefficient of Variation Calculator on True Calculator gives you an instant, accurate answer with no sign-up and no app install. Calculate the coefficient of variation (CV) as a percentage for any dataset. Compare relative variability across different scales. Every result shows the formula and a worked example so you can verify the calculation yourself, and all values are computed in your own browser — your numbers never leave your device.
Popular uses: coefficient of variation calculator · cv calculator statistics · coefficient of variation formula
Reviewed by the True Calculator team · Last updated: August 2026
How We Calculate
This calculator uses standard statistical formulas as defined in textbooks and statistical software. All calculations are performed instantly in your browser using JavaScript — no data is sent to any server.
Formulas follow the conventions used in academic statistics, including population and sample variants where they differ.
When to Use This Calculator
Use the coefficient of variation calculator whenever you need to compare variability across datasets that use different scales or units — rainfall between districts, crop yields between seasons, prices across states, or delivery times between cities. Indian economists and agricultural scientists rely on CV precisely because a standard deviation in millimetres cannot be compared with one in tonnes, while the unit-free percentage can. Quality-control teams use it to benchmark process consistency, and mutual fund analysts in India use it to express risk per unit of return when comparing funds of very different sizes. The calculator pairs the CV with the mean and standard deviation so every number in the ratio is visible and verifiable, and the sample-versus-population choice matches the convention used in published statistics.
How to Use This Calculator
- Step 1: Paste or type your numbers in the values box, comma-separated.
- Step 2: Choose sample or population mode to match how the standard deviation is computed.
- Step 3: Read the CV as a percentage, with the standard deviation and mean alongside.
- Step 4: Compare CV values across datasets of different units or scales.
Worked Example
An economist in Patna compares rainfall variability across two districts using 8 years of data: district A readings 2, 4, 4, 4, 5, 5, 7, 9 and district B readings 10, 12, 14, 16, 18. District A's population CV is 40% (mean 5, sd 2), while district B's sample CV is about 22.6% (mean 14, sd 3.16) — so district A's rainfall is far more erratic relative to its average. Raw standard deviations of 2 and 3.16 could not have been compared directly, but the unit-free CV makes the difference obvious.
Tips and Common Mistakes
- •Tip 1: Use CV to compare variability between datasets with different units, like marks and weights.
- •Tip 2: A CV below 10% usually signals a very consistent process; above 30% signals high variability.
- •Tip 3: Report CV as a percentage with one or two decimals, the convention in research papers.
- ✗Mistake 1: Using CV when the mean is near zero — the ratio explodes and becomes meaningless.
- ✗Mistake 2: Using CV with negative or mixed-sign data, where the percentage no longer represents spread.
Frequently Asked Questions
What is the coefficient of variation?
The coefficient of variation (CV) is the standard deviation divided by the mean, expressed as a percentage: CV = (sd ÷ mean) × 100. Because it is unit-free, it measures relative variability and lets you compare the spread of datasets that use completely different scales — like weights in kilograms versus prices in rupees.
Why use CV instead of standard deviation?
The standard deviation is in the data's own units, so you cannot compare a standard deviation of 2 kg with one of 2 ₹. The CV converts both to percentages of their means. For the dataset 2, 4, 4, 4, 5, 5, 7, 9 the population CV is 40%, while the sample CV is about 42.8%.
What does a low or high CV mean?
A low CV means the data is tightly clustered around the mean; a high CV means it is widely scattered. In quality control, a CV below 10% is often considered very consistent, while above 30% indicates high variability. For example, the values 10, 12, 14, 16, 18 have a sample CV of about 22.6%.
When is the coefficient of variation used in India?
Economists use CV to compare the variability of rainfall across districts, crop yields across seasons or prices across states — comparisons that would be meaningless with raw standard deviations. Mutual fund reports also use CV to express risk per unit of return, helping investors compare funds of very different scales.
When should I NOT use the CV?
The CV is undefined when the mean is zero or very close to zero, because dividing by a tiny number explodes the ratio — temperatures in Celsius around freezing are a classic trap. It also loses meaning when values are negative or mixed-sign. In those cases use the variance or standard deviation calculator instead.
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