In this article, we will learn How to calculate the weighted average in Excel.
Weighted Average in mathematics:
Weighted average is a kind of arithmetic mean in which some elements of the data set carry more importance than others. In other words, each value to be averaged is assigned a certain weight.
Normal Average = Sum of values in a range / number of values in a range
In mathematics and statistics, you calculate the weighted average by multiplying each value in the set by its weight, then you add up the products and divide the products' sum by the sum of all weights.
Weighted average = score1 * weight1 + score2 * weight2 + . . . + Score5 * weight5 / sum of all weights
In any example, in order to calculate the weighted average (overall grade), you multiply each grade by the corresponding percentage (converted to a decimal), add up the 5 products together, and divide that number by the sum of 5 weights:
Calculate weighted average in Excel
In excel, we can calculate the weighted average of the database using 3 different excel functions.
Let's learn each process one by one to understand how the weighted average is calculated.
All of these might be confusing to understand. Let's understand how to use the function using an example. Here we have a list of values and its respective weightage. As we understand from the formula we can calculate the weighted average simply just by using a simple formula shown and explained below.
Use the formula:
As you can see, the weighted average comes out to be 26. This manual process is easy till the range of values are less. When we calculate the weighted average even for 20 values at once, this process becomes lengthy and hectic and can also lead to mistakes.
Weighted average using SUM function and SUMPRODUCT function
The above excel function mentioned will help in making our calculations easier. The numerator part of the formula will be handled by SUMPRODUCT function and denominator part will be handled by SUM function.
Here we have two arrays : Scores or Grades obtained in each activity and weightage of each activity
Use the formula in the cell to find the weighted average
|=SUMPRODUCT(B2:B6,C2:C6) / SUM(C2:C6)|
Press Enter to get the weighted sum of the data.
SUMPRODUCT function calculates the sum of the products of corresponding values (Score * Weightage(score)) and SUM function finds the sum of Weightage.
As you can see, the clear difference between the average and weighted average for the same range of values. The concept of average comes from mathematics. Average can be defined as the result that we obtain after adding several quantities and then dividing this total by the number of quantities.
The weighted mean is similar to the arithmetic mean where instead of each of the data points contributing equally to the final average, some data points contribute more than others.
Here are all the observational notes using the formula in Excel
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