Statistics & Probability

Weighted Mean

Mean weighted by importance.

Formula

Formula
x̄_w = Σ wi xiΣ wi

Variables

SymbolDefinitionType & rangeUnitsRole
xᵢ values list of real numbers — input
wᵢ weights list of real numbers — input

Try it yourself

Interactive calculator
comma or space separated numbers
comma or space separated numbers
Result
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Worked examples

Example 1
Givenvalues = 90, 80, 70, weights = 0.5, 0.3, 0.2
Result83
Example 2
Givenvalues = 100, 50, weights = 1, 3
Result62.5