Calculadora de Média Ponderada

Média ponderada: soma de nota×peso dividida pela soma dos pesos.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Média ponderada
6,83

Formula

WA = Σ(notaᵢ·pesoᵢ) / Σ pesoᵢ

About this calculator

The weighted average calculator allows you to compute the average of values that have different weights. Unlike the simple arithmetic mean, where all values have the same importance, the weighted average assigns a weight to each value, reflecting its relative significance. The calculation is performed by multiplying each value by its respective weight, summing these products, and dividing by the total sum of weights. This tool is widely used in educational contexts, such as calculating grades for subjects with different workloads, and also in financial analysis, where different investments may have distinct weights.

How to use the calculator: enter the values and their corresponding weights in the provided fields. The calculator accepts multiple pairs of value and weight. After entering all data, click 'Calculate' to obtain the weighted average. The result is displayed with up to two decimal places. If you wish to clear the data and perform a new calculation, use the 'Clear' button. The interface is simple and intuitive, allowing you to add or remove rows as needed.

When to use the weighted average: it is ideal when values do not have the same importance. For example, in a course, a final exam may have a higher weight than a homework assignment. In finance, the return of an investment portfolio is calculated by weighting the returns of each asset by its portfolio weight. It is also used in opinion polls, where responses from different groups may have different weights to reflect population proportions.

Care with the weighted average: ensure that the weights are positive and consistent with the relative importance. The sum of weights cannot be zero. Remember that the weighted average is sensitive to very large or very small weights, which can distort the result. Also, make sure all values are in the same unit or scale before applying weights.

Frequently asked questions

What is the difference between weighted average and arithmetic mean?

In the arithmetic mean, all values have the same weight. In the weighted average, each value has a different weight, reflecting its relative importance.

Can I use decimal weights?

Yes, weights can be decimal numbers as long as they are positive. The calculator accepts fractional weights.

What happens if the sum of weights is zero?

The average cannot be calculated because it would involve division by zero. Make sure the sum of weights is greater than zero.

Does the calculator work for grades with equal weights?

Yes, if all weights are equal, the result will be the same as the simple arithmetic mean.

Can I calculate the weighted average for more than 10 values?

Yes, the calculator allows you to add as many rows as needed to enter all pairs of value and weight.

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