weighted arithmetic mean

mathematics

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July 15, 2026

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In mathematics, a weighted arithmetic mean is a type of average where each number in a dataset is assigned a specific weight, indicating its relative importance or frequency. This differs from the standard arithmetic mean, where all numbers are treated equally.123

To calculate the weighted arithmetic mean, you multiply each number by its assigned weight, sum these products, and then divide by the sum of all the weights. This method is particularly useful in statistical analysis, especially when dealing with grouped data where each number represents the midpoint of an interval and its weight is the count of data points within that interval.1

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mean
…a more general average, the weighted arithmetic mean. If each number (x) is assigned a corresponding positive weight (w), the weighted arithmetic mean is defined as the sum of their products (wx) divided by the sum of their weights. In this case,
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…a more general average, the weighted arithmetic mean. If each number (x) is assigned a corresponding positive weight (w), the weighted arithmetic mean is defined as the sum of their products (wx) divided by the sum of their weights. In this case,
Read More