What you provide
What you provide
- Observation count, using the same scenario as the other inputs
- Sum of values, using the same scenario as the other inputs
- Sum of squared values, using the same scenario as the other inputs
MATH / DESCRIPTIVE STATISTICS
Standard Deviation from Sums Calculator
Calculate sample standard deviation from count, sum, and squared-value sum. Review the equation, substituted values, result, assumptions, and interpretation 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 squared-value sum. 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 in units 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.
Use one consistent dataset or scale and verify statistical or geometric assumptions before interpretation.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors