How to Calculate Weighted Mean?

To calculate the weighted mean follow the steps added below:

Step 1: Multiply each number by its corresponding weight.

Step 2: Add up all the products.

Step 3: Divide the sum of the products by the sum of the weights.

This explained using an example added below:

Example: In three exams in a course, each exam has a different weight in determining your final grade. Here are the scores and weights:

Exam 1: Score = 80, Weight = 30%
Exam 2: Score = 90, Weight = 40%
Exam 3: Score = 85, Weight = 30%

Find weighted mean:

Solution:

To calculate the weighted mean (your overall grade), weuse the formula:

Weighted Mean = {(80×.3) + (90×.4) + (85×.3)}/(0.3 + 0.4 + 0.3)

= {24 + 36 + 25.5}/1 = 85.5

So, the weighted mean of your exam scores is 85.5.

Weighted Mean Formula

Mean is also called average in Mathematics which denotes the sum of all given quantities divided by the number of quantities. The arithmetic mean is important in statistics. For example, Let’s say there are only two quantities involved, the arithmetic mean is obtained simply by adding the quantities and dividing by 2.