Standard deviation calculator

Paste a list of numbers to get the standard deviation and every other summary statistic.

Separate with commas, spaces or new lines.

The data is a

How it’s worked out

Mean
Sum of squared deviations
Variance
Standard deviation

Questions people ask

Sample or population?

Use “sample” when your numbers are a selection from a bigger group (most real data). It divides by n − 1, which corrects for the sample’s tendency to understate spread. Use “population” only when you have every member of the group.

What does standard deviation mean?

It is the typical distance of values from the mean. For roughly bell-shaped data, about 68% of values fall within one standard deviation of the mean and 95% within two.