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Weighted Mean Calculator

Compute weighted mean x̄w = Σwᵢxᵢ / Σwᵢ from three (value, weight) pairs.

Input Data

Input Value x₁.
Input Weight w₁.
Input Value x₂.
Input Weight w₂.
Input Value x₃.
Input Weight w₃.

Results

90
x̄w = Σwᵢxᵢ / Σwᵢ.

At a glance:Weighted Mean Calculator: enter parameters to compute results; complements related calculators.

Formula

x̄w = (w₁x₁ + w₂x₂ + w₃x₃) / (w₁ + w₂ + w₃).

How to Use

  1. Enter three values and their weights.
  2. It returns the weighted mean.

Case Studies

80×1, 90×3, 100×1 → x̄w=90

(80+270+100)/5 = 450/5 = 90.

FAQ

Weighted vs arithmetic mean?

Weighted mean lets weights change each value's contribution.

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Weighted Mean Calculator（/statistics/weighted-mean）。