Standard Deviation Calculator

Paste a list of numbers to get descriptive statistics under both deviation conventions.

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How to use

  1. 1Separate numbers with commas, semicolons or line breaks.

About

Population variance divides by N; sample variance divides by N−1 when there is more than one value.

Standard deviation calculator

Calculate mean, variance and population and sample standard deviations from a list.

Population variance divides squared deviations by n; sample variance divides by n−1. Standard deviation is the square root.

Separate values with commas, semicolons or line breaks.

A larger deviation means values are more spread around the mean.

Practical examples

  • For 2, 4 and 6, the mean is 4, population variance 2.667 and population deviation 1.633.

Limitations and notes

  • Sample deviation requires at least two values.
  • Use valid values and keep all units consistent.

How to use

  1. 1Paste a list of values.
  2. 2Review the mean.
  3. 3Compare population and sample results.

Frequently asked questions

Which deviation should I use?

Use population deviation for a complete population and sample deviation when the list is a sample.