Standard Deviation Calculator
Calculate sample or population standard deviation from a list of observations.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Numbers | Separate values with commas, spaces or line breaks. Use dots for decimals; at most 10,000 values. |
| Calculation mode | population/sample |
Understanding your result
These are descriptive results for the observations you entered, not proof of causation, significance or a particular population distribution.
Common mistakes
- Choosing a population denominator for a sample without intending that convention.
Check your calculation
- Try a small hand-checkable list; confirm the stated quartile/rank/denominator convention before comparing with another application.
Calculation checks, sources and review limits
What is the sample or population standard deviation of these numbers?
Calculate sample or population standard deviation from a list of observations.
Common uses
- Calculate sample or population standard deviation from a list of observations.
How it works
sqrt(population or sample variance) Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits.
Worked example
Enter Numbers: 1, 2, 3; Calculation mode: sample. The result is Standard deviation: 1.
FAQ
What is the sample or population standard deviation of these numbers?
sqrt(population or sample variance) Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits.
What assumptions and limits apply?
Inputs and results must stay within the stated supported ranges.