Free online tool

Standard Deviation Calculator

Compare sample and population spread with the calculation inputs kept visible.

Separate values with commas, spaces, semicolons, or new lines.

Sample standard deviation-
Population standard deviation-
Sample variance-
Population variance-
Mean-
Count-

Method

Calculation method

The calculator applies the standard arithmetic or statistical definition shown by the selected task. Results retain extra precision internally and round only the displayed value.

Inputs are validated before calculation. Fractions are reduced with the greatest common divisor, while sample statistics use n minus 1 where appropriate.

Questions

Standard Deviation Calculator FAQ

When should I use sample standard deviation?

Use sample standard deviation when the entered values are a sample used to estimate a larger population; it divides squared deviations by n minus 1.

What does a larger standard deviation mean?

It means values are typically spread farther from the mean. A standard deviation of zero means all entered values are equal.

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