Arithmetic

Weighted Average

Average in which values contribute according to assigned weights.

x̄w = Σ(wᵢxᵢ) / Σwᵢ

Variables

wᵢ
weights
xᵢ
values

Example

Grades 80×1 and 95×2 → 90

How to use this formula

Identify the known values, keep units consistent, substitute the values into the formula, and calculate carefully. Then check whether the result is reasonable for the original problem.