Weighted Average Calculator

Weighted Average Formula

Weighted average is a method in which each number does not have an equal impact on the average, but has an impact in direct proportion to their weight. As can be seen from the formula above, all numbers are multiplied by their weights and added. Then, the result is divided by the total weight to obtain the weighted average. If the sum of the weights is zero, the weighted average will be undefined since the result obtained from the first stage will be tried to be divided by zero.

Where is Weighted Average Used?

The weighted average is calculated when the influence of the elements of a sequence is unequal. For example, when the effect of the midterm and final of a course on the final grade is not equal, the final grade can be found by taking the weighted average of the midterm and final. Additionally, you can benefit from the weighted average when calculating the average cost of your investment or choosing the most appropriate action in your decision-making processes. In the field of technology, weighted average is also used in artificial intelligence applications to reflect the impact of each feature on the result based on its importance.

How is the Weighted Average Calculated?

An example can be examined to understand the above explanations more clearly. Assume that a student gets 60 on the midterm, 85 on the quiz, and 40 on the final. Let's assume that the quiz of the course affects 10 percent, the midterm affects 40 percent and the final affects 50 percent. In this case, the student's weighted average in this course can be found using the formula above as follows: