Weighted Average

About this exercise

An average where some values count for more than others.

Example problems

A few of the problems this exercise asks. The printable worksheet holds ten fresh ones.

Test 1: 80 (weight 60%) Test 2: 70 (weight 40%) Weighted average = ?
Test 1: 100 (weight 30%) Test 2: 70 (weight 40%) Test 3: 100 (weight 30%) Weighted average = ?
Test 1: 70 (weight 40%) Test 2: 50 (weight 20%) Test 3: 80 (weight 40%) Weighted average = ?
Test 1: 100 (weight 40%) Test 2: 90 (weight 20%) Test 3: 50 (weight 40%) Weighted average = ?

Try it yourself first — open a section below only if you get stuck.

How to solve it

Multiply each value by its weight, add the products, then divide by the total of the weights.

Worked example

A test worth 70 percent of the grade scoring 80, alongside one worth 30 percent scoring 50, gives 0.7 x 80 + 0.3 x 50 = 71.

Common mistake

Averaging the distinct values. A value with double the weight has to be counted twice.