# Weighted Average Calculator

Free weighted average calculator. Calculate the weighted mean from values and weights. Useful for GPA, portfolio returns, and grading systems.

## What this calculates

Calculate the weighted average (weighted mean) of up to 6 values with their corresponding weights. Use for GPA calculations, portfolio returns, grading systems, and more.

## Inputs

- **Value 1**
- **Weight 1** — min 0
- **Value 2**
- **Weight 2** — min 0
- **Value 3**
- **Weight 3** — min 0
- **Value 4**
- **Weight 4** — min 0
- **Value 5**
- **Weight 5** — min 0
- **Value 6**
- **Weight 6** — min 0

## Outputs

- **Weighted Average** — The weighted mean of the values.
- **Simple Average** — The unweighted arithmetic mean for comparison.
- **Total Weight** — Sum of all weights.
- **Number of Items** — Number of value-weight pairs used.
- **Formula** — formatted as text — The weighted average formula and calculation.

## Details

The weighted average assigns different importance (weights) to each value.

Formula:
Weighted Average = Σ(xᵢ × wᵢ) / Σwᵢ

When weights are equal, the weighted average equals the simple arithmetic mean.

Common Uses

- GPA (credits as weights)

- Portfolio return (investment amounts as weights)

- Course grades (assignment weights)

- Composite scores

## Frequently Asked Questions

**Q: What is the difference between weighted and simple average?**

A: A simple average treats all values equally. A weighted average multiplies each value by its weight before averaging, giving more influence to values with higher weights. For example, in a course where the final exam is worth 50% and homework is 20%, the final exam has more influence on the final grade.

**Q: How do I calculate weighted GPA?**

A: Multiply each course grade point by its credit hours, sum those products, and divide by total credit hours. For example: (4.0 × 3 credits + 3.0 × 4 credits) / (3 + 4) = 24/7 = 3.43 GPA.

**Q: Do the weights need to add up to 100%?**

A: No. The weights can be any positive numbers -- the formula normalizes them by dividing by the total weight. Weights of 1, 2, 3 give the same result as 10%, 20%, 30% (after normalization). However, if your weights represent percentages, they should sum to 100% for proper interpretation.

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Source: https://vastcalc.com/calculators/math/weighted-average
Category: Math
Last updated: 2026-04-21