This weighted average calculator combines values with different weights, so heavier items influence the result more.
Math
Weighted Average Calculator
Calculate a weighted average from values and weights.
Calculator
About this calculator
Formula notes
weighted mean = Σ(wᵢ·xᵢ) / Σ(wᵢ). Equal weights reduce it to the ordinary mean.
Worked examples
- Example: scores 80 (weight 3) and 90 (weight 1) give (240 + 90) / 4 = 82.5.
- Scores 80, 92, and 70 weighted 20%, 50%, and 30% give 80x0.2 + 92x0.5 + 70x0.3 = 83.
How to use it
- Enter each value together with its weight.
- Check that the weights reflect real importance.
- Read the weighted mean for grades, pricing, or ratings.
Frequently asked questions
Do the weights need to add to 100?
No. Only their relative sizes matter; the calculator divides by the total weight.
What if one weight is zero?
That item is ignored entirely, since it contributes nothing to numerator or denominator.
Limits and interpretation
- Values and weights must correspond position by position, and the total weight cannot be zero.
- Weights need not sum to 1 because normalization is possible, but negative weights change interpretation and may be inappropriate.