Menu
Formula verified · Deterministic calculation

Weighted Mean Calculator

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

Weighted mean3
CalcuMint Pro

Advanced Analysis

Compare plans
Advanced chartsExplore the result across time and assumptions.
Scenario comparisonCompare multiple assumptions side by side.
Sensitivity analysisSee which assumptions change the outcome most.
Goal SolverSolve backwards from the outcome you want.
Result methodology

Deterministic calculation using the displayed formula and supplied inputs.

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.

  • 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.

Related calculators

Mean Median Mode Range CalculatorCalculate mean, median, mode, minimum, maximum and range from a dataset.Coefficient of Variation CalculatorCalculate relative dispersion from a mean and standard deviation.Percentile CalculatorCalculate a percentile using linear interpolation of ordered data.