What you provide
What you provide
- Sample count, using the same scenario as the other inputs
- Sum of observations, using the same scenario as the other inputs
- Sum of squared observations, using the same scenario as the other inputs
MATH / DESCRIPTIVE STATISTICS
Sample Standard Deviation Calculator
Calculate sample standard deviation from count, sum, and sum of squares. Review the symbolic equation, substituted values, interpretation boundary, and result in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate sample standard deviation from count, sum, and sum of squares. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
s=sqrt{[sum(x^2)-(sum x)^2/n]/(n-1)}
What you receive
What you receive
- Sample standard deviation from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
Interpret the result only when the sampling design, independence, distribution, and measurement assumptions fit the data.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors