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Formula verified · Deterministic calculation

Weighted Mean Calculator

Enter equal-length lists of values and positive weights to calculate their weighted average.

Weighted mean3
Methodology

Deterministic calculation using the displayed formula and supplied inputs.

Sources
  • CalcuMint deterministic statistics engine
Solution steps
  1. Weighted sum = 60
  2. Total weight = 20
  3. Weighted mean = 3

How this calculator works

The weighted mean is Σ(wx)/Σw.

Formula

x̄w=Σ(wx)/Σw

Computes a mean where each observation contributes according to its positive weight.

Worked example

Weighted average is a verified test case used by the calculation engine.

Assumptions and limitations

  • Values and weights have equal length.
  • Every weight is positive.
  • Weights determine each observation's contribution.

Methodology & sources

This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint. Technical calculation version: 1.

  • CalcuMint deterministic statistics engine

Frequently asked questions

Why use a weighted mean?

A weighted mean gives observations different influence according to their supplied weights.

Can weights be zero?

This certified calculator requires positive weights.

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