Education

Standard Deviation Calculator

Paste a list of numbers and get the sample and population standard deviation, variance, mean, count, min and max — with the working shown. Accepts commas, spaces or line breaks, so you can paste straight from a spreadsheet.

Examples

Input
2, 4, 4, 4, 5, 5, 7, 9
Output
Population SD 2 · Sample SD 2.138 · Mean 5

How to use Standard Deviation Calculator

Paste the data
Numbers separated by commas, spaces or new lines — straight from Excel or Sheets works.
Read the stats
Mean, sample SD (n−1), population SD (n), both variances, min and max update live.
Pick the right SD
Use sample SD when your data is a sample of a larger group; population SD when it is the whole group.

Why use this tool

Both sample (n−1) and population (n) standard deviation
Variance, mean, count, min and max in one view
Paste-friendly: commas, spaces, tabs or line breaks
Instant and private — data never leaves your device

Frequently asked questions

If your numbers are the entire group you care about, use population SD (divides by n). If they are a sample representing a bigger group, use sample SD (divides by n−1), which corrects for the underestimate.

How spread out the values are around the mean. For roughly normal data, about 68% of values fall within one SD of the mean and 95% within two.

The average of the squared distances from the mean — the standard deviation squared. SD is usually easier to interpret because it is in the same units as the data.

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