This online calculator is intended for calculation of the weighted average (or weighted arithmetic mean) of a set of data. Enter the data sets of input values and corresponding weights in the appropriate fields of the Weighted Average Calculator and calculate the weighted average as well as the number of input values (dataset size) and total of the weights. You can paste the data copied from a spreadsheet or csv-file or input manually using comma, space or enter as separators.
Weighted average formula
The weighted average is similar to an ordinary arithmetic mean, except that each of the data points contribution differs from the other points. The weighted average (\({\bar {x}}\)) is equal to the sum of the product of the data value (\(x_{ i }\)) times the weight (\(w_{ i }\)) divided by the sum of the weights:
$${\bar {x}}={\frac {\sum \limits _{i=1}^{n}w_{i}x_{i}}{\sum \limits _{i=1}^{n}w_{i}}}={ \frac { w_{ 1 }x_{ 1 }+w_{ 2 }x_{ 2 }+\cdots +w_{ n }x_{ n } }{ w_{ 1 }+w_{ 2 }+\cdots +w_{ n } } }.$$
If all the weights are equal, then the weighted average is the same as the arithmetic mean.
Weighted Average Calculator is useful in many situations e.g., calculating final grade when the individual assignments carry different weights, calculating average selling price of an item sold at different prices and in many more applications.
Related calculators
Check out our other math calculators such as Arithmetic Mean Calculator and Geometric Mean Calculator.