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Weighted Average Calculator

Compute a weighted average from matching value and weight lists.

Clear formulas
Educational steps
Detail breakdown

x̄_w = Σ(w_i x_i)/Σ(w_i) with non-negative weights.

Limitation: Educational weighted mean—not GPA policy or survey raking.

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How to Use the Weighted Average Calculator

x̄_w = Σ(w_i x_i)/Σ(w_i) with non-negative weights.

1

Open the Weighted Avg calculator and read field labels.

Match the mode

Educational weighted mean—not GPA policy or survey raking.

What It Calculates

x̄_w = Σ(w_i x_i)/Σ(w_i) with non-negative weights.

Worked Examples

Grade weights

Inputs

valuesText:90, 85, 78
weightsText:3, 2, 1

Result

≈86.67

(270+170+78)/6.

Equal weights

Inputs

valuesText:10, 20, 30
weightsText:1, 1, 1

Result

20

Matches simple mean.

Single value

Inputs

valuesText:42
weightsText:5

Result

42

One weighted point.

Check your mode

Educational weighted mean—not GPA policy or survey raking.

Frequently Asked Questions

Yes. Results keep the precision shown on the page unless the engine requires integers.

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Formulas

Standard definitions with assumptions noted below.

Formula

x̄_w ​=​ Σ​(​wᵢ xᵢ​)​​/​Σ​(​wᵢ​)​

Scientific Background

Standard statistics definitions with assumptions stated on-page. Educational only—not professional certification.

Sources & review

Weighted Average Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.

Last reviewed

July 22, 2026

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