Weighted Average Calculator

Weighted Average Formula

The weighted average is calculated by multiplying each value by its corresponding weight, summing these products, and then dividing by the sum of the weights.

Formula:

Weighted Average = (x₁w₁ + x₂w₂ + ... + xₙwₙ) / (w₁ + w₂ + ... + wₙ)

Steps

How to Calculate Weighted Average

To calculate the weighted average, follow these steps:

1
Multiply each value by its corresponding weight
2
Sum all the products from step 1
3
Sum all the weights
4
Divide the sum of products by the sum of weights

For example, to find the weighted average of values 80, 90, 70 with weights 0.3, 0.4, 0.3:

Example Calculation:

Weighted Average = (80×0.3 + 90×0.4 + 70×0.3) / (0.3 + 0.4 + 0.3) = 81

Examples

Weighted Average - Practical Examples

Example 1 Course Grades

A student has the following grades: Midterm (30%), Final (40%), and Assignments (30%). Calculate the final grade.

Weighted Average = (85×0.3 + 90×0.4 + 88×0.3) / (0.3 + 0.4 + 0.3) = 87.9

Example 2 Investment Portfolio

An investment portfolio has three stocks with different weights. Calculate the portfolio return.

Weighted Average = (8%×0.4 + 12%×0.3 + 6%×0.3) / (0.4 + 0.3 + 0.3) = 8.6%

Example 3 Product Rating

A product has ratings from different sources with varying credibility weights.

Weighted Average = (4.5×0.5 + 4.2×0.3 + 4.8×0.2) / (0.5 + 0.3 + 0.2) = 4.47

Enter Your Values and Weights

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