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Weighted Average Calculator for Grades and Scores

This free weighted average calculator combines values that count for different amounts. Enter one value and weight per line to get the weighted mean for grades, portfolio returns, average cost and more.

By Debmedia Technologies LLP · Kolkata, India · Updated

What Is It and When Do You Need It?

A weighted average respects that not every number matters equally. Course grades, investment returns, the average price you paid for shares and survey results all need weights. A simple mean would give a wrong answer for each of them.

Type one value and one weight on each line. The tool returns the weighted mean and a table that shows each contribution.

How to Use This Tool

  1. Write each item on a new line as value weight, for example 85 40.
  2. Press Calculate.
  3. Read the weighted average at the top.
  4. Check the table of weights and contributions.

How the Calculation Works

Weighted average = (v1 × w1 + v2 × w2 + …) ÷ (w1 + w2 + …). Each item’s share of the total weight is shown as a percentage so you can see how much it counts.

Worked Example

An exam is 40% of a course with a mark of 85, a project is 30% with 92, and homework is 30% with 78. The weighted average is (85 × 40 + 92 × 30 + 78 × 30) ÷ 100 = 85.0. The plain average of the three marks would be 85 as well here, but with weights 60, 20 and 20 it would be 84.

Common Uses

  • Final course grades.
  • Average purchase price of shares or stock.
  • Portfolio return across holdings.
  • Survey scores combined by group size.

Tips and Common Mistakes

  • Weights must not be negative and must add to more than zero.
  • The weights can be hours, units or percentages.
  • For a plain average, use the average calculator.

Next, you may need the average calculator, GPA calculator, percentage calculator, ratio calculator.

Everything runs in your browser. Nothing you type is uploaded, stored or sent to any outside service.

Frequently Asked Questions

It is an average where some values count more than others. Each value is multiplied by its weight, the products are added and the sum is divided by the total weight.
No. Weights can be percentages, credit hours, quantities or any numbers. The tool divides by their total.
A plain average gives every value the same weight. With weights, a final exam worth 50% affects the result much more than a quiz worth 5%.
Enter each purchase price with the number of units bought. The result is your average cost per unit.

Disclaimer: results are calculated in your browser from the numbers you enter. Check important results before you rely on them for money, health, safety or legal decisions.