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MATH / DESCRIPTIVE STATISTICS

Combined Group Variance Calculator

Combine two sample variances while accounting for different group means. Inspect 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

Conversion input

Known value

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Equation inputs

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Calculation path

Combine two sample variances while accounting for different group means. 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^2=[sum((ni-1)si^2+ni(xi-x)^2)]/(N-1)

What you provide

What you provide

  • First group size, using the same scenario as the other inputs
  • First group mean, using the same scenario as the other inputs
  • First group sample deviation, using the same scenario as the other inputs
  • Second group size, using the same scenario as the other inputs
  • Second group mean, using the same scenario as the other inputs
  • Second group sample deviation, using the same scenario as the other inputs

What you receive

What you receive

  • Combined sample 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.

Groups are independent, use one measurement scale, and deviations are sample standard deviations.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors

OpenStax Introductory Statistics 2e

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