Coefficient Of Variation Calculator

Calculate the coefficient of variation (CV) for a set of numbers. The CV is a standardized measure of dispersion, useful for comparing variability between datasets with different units or means.

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How to use this tool?

Follow these steps to calculate the Coefficient of Variation (CV) for your data:

  1. Enter your data in the "Data Values" text area. Use commas to separate each number (e.g., 10, 12, 23, 23, 16, 23, 21, 16).
  2. Click the "Calculate CV" button to process your data.
  3. View your results:
    • Mean – the average of your data.
    • Standard Deviation – the spread of your data.
    • Coefficient of Variation (CV) – the ratio of standard deviation to mean, expressed as a percentage. It measures relative variability.

Note: The calculator uses the sample standard deviation formula (dividing by n-1). The CV formula is: CV = (Standard Deviation / Mean) × 100%. No specific units are required—any numeric data works.

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Frequently Asked Questions

The coefficient of variation (CV) is a statistical measure of the relative dispersion of data points around the mean. It is calculated as the ratio of the standard deviation to the mean, often expressed as a percentage. It is useful for comparing variability between datasets with different units or means.

A lower CV indicates less variability relative to the mean, while a higher CV indicates more variability. For example, a CV of 10% means the standard deviation is 10% of the mean. There is no universal threshold; it depends on the context.

The CV is typically used for ratio-scale data with a meaningful zero and positive values. If the mean is negative or zero, the CV becomes undefined or meaningless. This calculator will still compute a value, but interpretation may not be valid.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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