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- Weighted Average Calculator

# Weighted Average Calculator

Calculate a weighted average from the entered school grades or numbers and their weights.

**Enter the values (e.g. school grades) and their weights:**
Weighted Average allows you to calculate average of values with different weights. The greater is the weight of a value, the greater the impact it will have on the final average.

## How to calculate Weighted Average?

To calculate a weighted average, add together each number multiplied by its weight. Then divide the obtained result by the sum of all weights.

**Weighted average** = (x

_{1} * w

_{1} + x

_{2} * w

_{2} + ...) / (w

_{1} + w

_{2} + ...)

### Example

Calculate the weighted average for the numbers: 3, 2, 4 with weights: 5, 4, 1.

**Weighted average:**

(3 * 5 + 2 * 4 + 4 * 1) / (5 + 4 + 1)

= (15 + 8 + 4) / 10

= 27 / 10

= 2.7