Weighted Population Variance
Measure population spread with nonnegative observation weights.
Your numbers
Population variance
This is population variance; it does not apply a sample-weight bias correction.
Scenario comparison
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Formula
μ=Σwx/Σw; σ²=Σw(x−μ)²/Σw
Measure population spread with nonnegative observation weights.
Worked example
- Values
- 1, 2, 3
- Nonnegative weights
- 1, 2, 1
- Population variance
- 0.5
- Standard deviation
- 0.707106781187
- Weighted mean
- 2
Scope and limitations
This is population variance; it does not apply a sample-weight bias correction.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
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Formula version: e5c6ce6d038b · Example checked: