Weighted Average Calculator

Find the weighted mean of a set of values and weights

Frequently Asked Questions

Multiply each value by its weight, add up those products, then divide by the sum of the weights. Weighted average = (x₁w₁ + x₂w₂ + ... + xₙwₙ) ÷ (w₁ + w₂ + ... + wₙ).
A regular (simple) average treats every value equally. A weighted average gives some values more influence than others based on their assigned weight — for example, a final exam worth 40% of a grade counts more than a quiz worth 5%.
No. The formula divides by the sum of the weights, so it works whether your weights are percentages that sum to 100, decimals that sum to 1, or any other consistent unit like credit hours or number of shares — the result comes out correctly either way.
Course grades are a classic example: if homework is 20% of your grade, quizzes are 30%, and the final exam is 50%, your final grade is the weighted average of your homework score, quiz score, and exam score using those percentages as weights.

Weighted average formula

Weighted average = (x₁w₁ + x₂w₂ + ... + xₙwₙ) ÷ (w₁ + w₂ + ... + wₙ). Each value is multiplied by its weight before being added together, so values with higher weights count for more in the final result.