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Weighted Mean from Values and Frequencies Calculator

Mean weighted by the number of occurrences of each value.

Calculates x̄_w = Σ(w_i · x_i) / Σw_i for up to six value/weight pairs. Used in grade calculations, portfolio returns, and frequency-distribution analysis.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

x̄_w = Σ(w·x) / Σw

In depth

Calculates x̄_w = Σ(w_i · x_i) / Σw_i for up to six value/weight pairs. Used in grade calculations, portfolio returns, and frequency-distribution analysis.