Standard Deviation Calculator

Standard Deviation Calculator: Calculate population or sample standard deviation from a list of numbers.

Standard Deviation Calculator

Standard Deviation Calculator: Enter numeric observations and choose population for a complete dataset or sample for a subset estimated with n−1.

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How to use Standard Deviation Calculator

Enter numeric observations and choose population for a complete dataset or sample for a subset estimated with n−1.

How Standard Deviation Calculator calculates the result

Calculate the mean and each observation's squared distance from it. Divide the sum of squared distances by n for a population or n − 1 for a sample, then take the square root. The sample version requires at least two observations.

Example

For 2, 4, 4, 4, 5, 5, 7 and 9, population standard deviation is 2.

What to know

Sample deviation requires at least two values. This calculation uses JavaScript double precision and assumes no frequency weights.