Online weighted average calculator. Enter the values and their percentage weights to compute the weighted average and learn the formula behind it. Use a period as the decimal separator. Remove or leave blank any boxes you do not use.
Weighted Average =
If we define each value as Vi and its respective weight as Wi, then the formula for the weighted average (also known as the weighted mean) is as follows:
In this formula, Vi represents the individual values to be averaged (for example, marks or scores obtained in different assessments), and Wi are the specific weights assigned to each value (for example, the percentage weight assigned to each element). The numerator calculates the weighted sum of all values, and the denominator calculates the sum of all weights. Dividing the numerator by the denominator gives the weighted average.
This formula is useful for computing weighted averages of marks, scores, percentages, and other data when certain components have different levels of importance. A weighted average provides a representative result when the assigned weights accurately reflect the contribution of each component.
A simple average, also called the arithmetic mean, is a special case of a weighted average in which every value has the same weight. It treats all values equally: add the values together and divide the total by their count. A weighted average uses different weights or percentages when some values matter more. When all weights are equal, both methods produce the same result.
For example, the mean of four scores—65, 70, 43, and 54—is (65 + 70 + 43 + 54) / 4 = 58. If the scores have different percentage weights, use a weighted average instead: a higher weight makes that score contribute more to the final result. This approach is useful for calculating a weighted average when values have percentage weights, such as in final grades and other results with components of unequal importance.
A weighted average, also known as a weighted mean, is a type of average that assigns a specific weight to each value in a data set. Instead of treating every value equally, it multiplies each value by its assigned weight and divides the total weighted sum by the sum of the weights. This method is useful for calculating final grades, scores, percentages, and other results when some data points matter more than others.