Coefficient of Variation Calculator
Measure relative variability: CV = (std dev / mean) x 100.
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Enter your data separated by commas or spaces. The calculator computes the sample standard deviation, divides by the absolute mean, and multiplies by 100 to give the CV as a percentage. A lower CV means less relative variability. The result also includes an interpretation: below 15% is low variability, 15-30% is moderate, and above 30% is high.
About Coefficient of Variation
The coefficient of variation (CV) is a standardized measure of dispersion. Unlike standard deviation, which depends on the units and magnitude of the data, CV expresses variability as a percentage of the mean. This makes it useful for comparing variability across datasets with different units or scales, such as comparing the consistency of test scores versus salary data.
Frequently Asked Questions
When is CV more useful than standard deviation?
CV is more useful when comparing variability between datasets with different means or different units. For example, comparing the consistency of heights (in cm) versus weights (in kg) requires a unitless measure like CV.
What is a good coefficient of variation?
It depends on the context. In laboratory assays, a CV below 10% is often required. In manufacturing, below 5% may be the standard. In social sciences, CVs of 20-30% are common and acceptable.
Can CV be calculated when the mean is zero?
No. CV divides by the mean, so it is undefined when the mean is zero. If your data centers around zero, consider using standard deviation or another measure instead.