Weighted Average Calculator – Compute Weighted Mean
Calculate the weighted average of values with different weights. Enter each value and its weight; the tool computes the weighted mean. Useful for grades, GPA, portfolio returns, and any situation where values have different importance.
Weighted Average Calculator
Calculate the weighted average of a set of values. Enter each value and its weight. Formula: Σ(value × weight) ÷ Σ(weight).
How the weighted average formula works
Weighted Average = Σ(value × weight) / Σ(weight)
Each value is multiplied by its weight, the products are summed, and the total is divided by the sum of all weights. Weights can be credit hours, amounts, or any measure of importance.
Understanding weighted average and when to use it
A weighted average, or weighted mean, is used when not all values in a set should contribute equally to the final result. In a simple average, every number counts the same. In a weighted average, each value is scaled by a weight that reflects its relative importance. The formula multiplies each value by its weight, sums those products, and divides by the sum of the weights.
A common example is calculating a semester GPA. If you have an A (4.0) in a 3-credit course and a B (3.0) in a 4-credit course, the simple average would be 3.5. But the 4-credit course should matter more. The weighted average is (4.0×3 + 3.0×4) / (3+4) = 24/7 ≈ 3.43, which correctly reflects that the lower grade was in the heavier course.
Portfolio return is another application. If you have 60% of your money in Fund A returning 10% and 40% in Fund B returning 5%, the portfolio return is the weighted average: 0.6×10 + 0.4×5 = 8%. Our weighted average calculator lets you enter multiple value-weight pairs and computes the result instantly. Use it for grades, financial metrics, survey analysis, or any scenario where values have different weights.