Weighted Average Calculator

Find a weighted average, where some values count more than others, such as grades with different course weights.

Values	85, 92, 78
Weights	20, 30, 50

Values

Separate numbers with commas, spaces or new lines.

Weights

One weight per value, in the same order. Weights can be percentages or counts.

Weighted average

83.6

Each value counts in proportion to its weight. The plain average would be 85.

Sum of weights: 100
Sum of value × weight: 8,360

How much each value counts

85 (weight 20)20%: 20%
92 (weight 30)30%: 30%
78 (weight 50)50%: 50%

Working

Value	Weight	Value × weight
85	20	1,700
92	30	2,760
78	50	3,900

About the Weighted Average Calculator

Enter the values and their weights, in the same order. The calculator gives the weighted average, the plain average for comparison and the sums used.

A weighted average multiplies each value by its weight, adds the results and divides by the total weight. If a final exam is worth 50% and two tests 20% and 30%, the exam pulls the average more than either test.

The formula

Weighted average = Σ(xᵢ × wᵢ) ÷ Σwᵢ

Worked example

Scores 85, 92, 78 weighted 20%, 30%, 50%

(85×20 + 92×30 + 78×50) ÷ 100
= 83.6

Questions people ask

Do the weights have to add up to 100?

No. The calculator divides by their total, so 2, 3, 5 gives the same result as 20, 30, 50.

Is GPA a weighted average?

Yes: grade points weighted by credit hours.

When should I use a weighted average?

Whenever items count differently: course grades, portfolio returns by amount invested, or prices by quantity sold.