Weighted Average Calculator

Calculate a weighted average (grades with coefficients, scores with weights) — add as many rows as you need.

Grade / valueWeight / coefficient

Weighted average

13.67

6

Total weight

82

Sum of grade × weight

How it works

A weighted average multiplies each value by its weight (coefficient), adds those products, then divides by the total of the weights. It's the standard way schools compute a term average when subjects don't count equally.

How it works

Weighted average = Σ(value × weight) ÷ Σ(weights)

A weighted average gives some values more influence than others. Instead of treating every number equally, each is multiplied by a weight, the products are added up, and the total is divided by the sum of the weights. It is the right tool whenever items don't count equally. A course grade where the exam is worth 50% and homework 20%, a portfolio return across holdings of different sizes, or an average price across purchases of different quantities all call for a weighted average, not a plain one. If every weight is the same, the weighted average collapses back to the ordinary (arithmetic) mean. The bigger the spread in weights, the more the heavily weighted values pull the result toward themselves.

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Frequently asked questions

How is a weighted average calculated?

Multiply each grade by its coefficient, add the results, then divide by the sum of the coefficients.

What if all weights are equal?

Then the weighted average equals the simple average (the plain mean of your values).

When should I use a weighted average instead of a simple one?

Whenever the values don't contribute equally — for example graded coursework, or prices across different quantities. Equal weights give the same result as a simple average.

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