Weighted means appear in index numbers, survey weighting and averaging grouped data.
How to use the Weighted Mean Calculator
- Values
- Weights
Results update as you type, and every field accepts the units shown in its menu.
How it works
Each value is multiplied by its weight, summed, and divided by the total weight.
Inputs explained
| Field | What to enter |
|---|---|
| Values | A list of numbers separated by commas, spaces or new lines |
| Weights | A list of numbers separated by commas, spaces or new lines |
What each result means
- Weighted mean = wavg([Values], [Weights])
- Total weight = sum([Weights])
Formula
x̄_w = Σ wᵢxᵢ ÷ Σ wᵢWorked example
Inputs — Values: 3.2, 4.1, 5.0, 2.8; Weights: 10, 25, 15, 50.
Results — Weighted mean = 3.495; Total weight = 100.
Frequently asked questions
Is a weighted mean the same as a weighted average?
Yes.
What if all weights are equal?
It reduces to the ordinary mean.
What formula does the Weighted Mean Calculator use?
x̄_w = Σ wᵢxᵢ ÷ Σ wᵢ.