Weighted Average Calculator
Enter two values and the weight of each one to get the weighted average — the everyday tool behind grade books, scorecards, and any number that should count more than another.
Weights count, not just values
Give each value a weight and the calculator returns the weighted average: (v₁ × w₁ + v₂ × w₂) divided by the total of the two weights.
Use any unit
Values can be grades, prices, or scores in any unit — only the ratio of the two weights changes the result, not their absolute size.
What is a weighted average?
An average where some values count more
A weighted average is an average in which each value counts according to its importance, or weight, instead of every value counting equally. This weighted average calculator takes two value and weight pairs and returns the figure that the weights pull toward — the standard way grades, exam scores, and prices are combined when one piece matters more than another. A final exam worth three times a quiz, or a large purchase next to a small one, is exactly the kind of case it settles.
Enter two values and how much each one should count, and the calculator gives the weighted average instantly.
The weighted average multiplies each value by its weight, adds those products together, and divides by the sum of the weights.
Weighted average = (v₁ × w₁ + v₂ × w₂) ÷ (w₁ + w₂)Because each value is scaled by its weight before being divided by the total weight, a heavier weight pulls the result closer to that value. When the two weights are equal, the formula collapses to the ordinary average of the two values.
Suppose a course grade combines an exam scored 80 that counts three times and a project scored 90 that counts once.
Multiply each value by its weight
80 × 3 = 240 and 90 × 1 = 90 — each score scaled by how much it counts.
Add the weighted values and the weights
240 + 90 = 330 for the values, and 3 + 1 = 4 for the total weight.
Divide
330 ÷ 4 = 82.5 — the weighted average. It sits closer to 80 than to 90 because the exam carries three quarters of the weight.
The formula is exact, but a couple of practical points are worth keeping in mind.
Two pairs, non-negative weights, and shared units
This calculator combines exactly two value and weight pairs; for more terms, weight each pair in turn. Weights must be non-negative and cannot both be zero, since a total weight of zero has no defined average. Keep the two values in the same unit — averaging a percentage with a raw point total gives a number that means nothing.