What is this calculator?
Calculate population and sample standard deviation from a data set.
What can you use it for?
Use it when solving an exercise, checking a result, or working with the particular quantities shown in this form. Calculate population and sample standard deviation from a data set.
How to use it
- Enter values separated by commas.
- Select Calculate (or Generate for random tools).
- Read the answer and any additional results below the form. Check the units and the limits of the method.
Formula and method
Population SD = √[Σ(x − mean)² ÷ n]
Sample SD = √[Σ(x − mean)² ÷ (n − 1)]
The values are sorted to find the median. Population and sample deviation use different denominators.
Worked example
Values separated by commas: 10, 20, 30, 40, 50. The result is 30 (mean (average)).
Assumptions and limits
Inputs and outputs must stay within the supported finite number range. Displayed decimal answers may be rounded.
Frequently asked questions
What inputs does the Standard Deviation Calculator need?
Use values separated by commas. Read the answer and any additional results below the form. Check the units and the limits of the method.
What assumptions apply to the Standard Deviation Calculator?
Inputs and outputs must stay within the supported finite number range. Displayed decimal answers may be rounded.