What is a coefficient of variation calculator?
The coefficient of variation expresses spread relative to the magnitude of the mean. It can help compare variability across ratio-scale measurements that use different units or substantially different means.
Use this page for a transparent calculation, then compare the result with the Standard Deviation Calculator when a different view of the same data would be useful.
How does this coefficient of variation calculator work?
The calculator obtains the selected sample or population standard deviation, divides it by the absolute mean, and reports the result as a percentage.
Before interpreting spread or position, it can help to check the center with the Variance Calculator. Every tool states its assumptions so results can be reproduced.
How to use this calculator
- Enter the requested numbers in the labeled fields.
- Review unit, sample, confidence, or test choices when shown.
- Select Calculate Coefficient of Variation.
- Read the main result, supporting facts, and method note.
- Use Copy, Download, or Print when you need to keep the result; select Reset to start over.
If you edit any input after calculating, the old result is marked stale and hidden until you calculate again.
How should you interpret the result?
A 12% CV means the standard deviation is 12% of the absolute mean. Smaller CV generally indicates less relative dispersion within an appropriate comparison.
For another useful perspective, open the Average Calculator; it answers a related question without changing the values you entered here.
Assumptions and limitations
CV is undefined at a zero mean and unstable near zero. It is usually inappropriate for interval scales without a meaningful zero, such as Celsius temperature.
Consider the Correlation Calculator for a complementary summary and the Interquartile Range Calculator when your question involves another statistical property. No single statistic describes every important feature of a data set.
Frequently asked questions
Sources and methodology
The formulas and cautions on this page are documented so the calculation can be checked against authoritative statistical guidance.