Weighted Average Calculator
Enter value-and-weight pairs to compute a weighted average that reflects the relative importance of each value.
Sum of (value × weight) divided by the sum of weights.
- 1
Weighted sum Σ(vᵢ × wᵢ)
500 - 2
Sum of weights Σwᵢ
6 - 3
Weighted average
500 ÷ 6 = 83.3333
Formula
How this is calculated
Each line you enter is a value (vᵢ) paired with a weight (wᵢ) — the first number is the quantity being averaged and the second is how much importance it carries. Lines are split on commas, spaces or tabs, and any line that does not contain two finite numbers is ignored, so blank rows and stray text are skipped safely.
The calculation multiplies every value by its own weight, adds up all those products to get Σ(vᵢ × wᵢ), and divides that total by the sum of the weights Σ(wᵢ). This is why a value with a larger weight pulls the result toward itself more strongly than one with a small weight. The weights are relative only: 3, 2, 1 produce exactly the same answer as 0.5, 0.333, 0.167, because both the numerator and the denominator scale together.
The weighted average always lands between the smallest and largest values you enter. Negative values and weights are allowed, but if the weights sum to zero the formula would divide by zero, so the result is left undefined and a warning is shown. No rounding is applied to the math itself; only the displayed figure is rounded to four decimals.
About this calculator
A weighted average gives different values different levels of influence on the final result, unlike a simple average where every value counts equally. Each value is multiplied by its weight, the products are summed, and that total is divided by the sum of all the weights.
Weighted averages appear everywhere: a course grade where exams count more than homework, a GPA where credit hours weight each course, an average price weighted by quantity purchased, or a survey result weighted by sample size. Enter one value-and-weight pair per line — for example "90, 3" — and the calculator returns the weighted mean. The weights do not need to add up to 1 or 100; only their relative sizes matter.
Frequently asked questions
A simple average treats every value equally. A weighted average lets some values count more by assigning them larger weights, so values with higher weights pull the result toward themselves.
No. Only the relative sizes of the weights matter, because the formula divides by the total of the weights. Weights of 3, 2, 1 give the same result as 0.5, 0.333, 0.167.
Put one value-and-weight pair per line, separated by a comma or space, such as "90, 3". The first number is the value and the second is its weight.
Also known as
TG we-Calculate Editorial Team. (2026). Weighted Average Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/weighted-average-calculator
TG we-Calculate Editorial Team. "Weighted Average Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/weighted-average-calculator.
TG we-Calculate Editorial Team, "Weighted Average Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/weighted-average-calculator
@misc{wecalculate_weighted_average_calculator, title = {Weighted Average Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/weighted-average-calculator}}, year = {2026}, note = {TG we-Calculate} }
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