CalculatorHandy

Education Calculators

Weighted Average Calculator

Calculate an average where some values count more than others: course grades by credit, product prices by quantity, or returns by portfolio share. Weights can be percentages, credits or any positive numbers.

Values and weights
Weighted average84.3
Sum of weights
10
Unweighted average
79.75
Step-by-step working
  1. Σ(value × weight) = 85×3 + 72×2 + 94×4 + 68×1 = 843
  2. Σ weights = 10
  3. Weighted average = 843 ÷ 10 = 84.3

How to use the Weighted Average Calculator

  1. Enter each value and its weight.
  2. Press Calculate.

Formula

Weighted average = Σ(xᵢ × wᵢ) ÷ Σ wᵢ

Examples

  • 85 (3), 72 (2), 94 (4), 68 (1): 843 ÷ 10 = 84.3, against a plain average of 79.75.

Frequently asked questions

Do weights need to add up to 100?

No. The formula divides by the sum of weights, so 3, 2, 4, 1 works as well as 30%, 20%, 40%, 10%.

Related calculators