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
Population Variance from Sums Calculator
Calculate population variance from aggregate count, sum, and sum of squares. 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 population variance from aggregate 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
sigma^2=sum(x^2)/n-(sum x/n)^2
What you receive
What you receive
- Population variance in squared 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