Standard Deviation Calculator — Population Standard Deviation
CalculatorA standard deviation calculator measures how spread out numbers are from their mean.
What is it
Standard deviation is the square root of variance, where variance is the average squared distance from the mean. Smaller values mean data is clustered; larger values mean it is spread out.
σ = √(Σ(x-μ)² / N)
How to use
- 1Enter numbers separated by commas, spaces, or line breaks.
- 2Press calculate.
- 3Check mean, variance, and standard deviation.
Reference
| Input | Mean | Standard deviation |
|---|---|---|
| 10,20,30,40,50 | 30 | 14.142136 |
Sources & standards
- MDN Web Docs: Client-side web APIs - MDN Web Docs
FAQ
What does standard deviation mean?
Standard deviation shows how far data values are spread around the mean.
Is standard deviation input sent to a server?
No. This tool runs in your browser and does not send input to a server.