# Weighted Mean Calculator

URL: https://speedycalculator.com/calculators/statistics/weighted-mean-grades/
Last updated: 2026-10-25

> The weighted mean calculator averages values that carry different weights, using two matching lists. It also reports the weighted variance and standard deviation.

## Inputs

- Values
- Weights

## Results

- Weighted mean
- Total weight

## Formula

```
x̄_w = Σ wᵢxᵢ ÷ Σ wᵢ
```

## Explanation

Weighted means appear in index numbers, survey weighting and averaging grouped data.

### How to use the Weighted Mean Calculator

- **Values**
- **Weights**

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Each value is multiplied by its weight, summed, and divided by the total weight.

### Inputs explained

FieldWhat to enterValuesA list of numbers separated by commas, spaces or new linesWeightsA list of numbers separated by commas, spaces or new lines

### What each result means

- **Weighted mean** = wavg([Values], [Weights])
- **Total weight** = sum([Weights])

## Worked example

Inputs — Values: 3.2, 4.1, 5.0, 2.8; Weights: 10, 25, 15, 50.

Results — **Weighted mean = 3.495**; Total weight = 100.

## FAQ

**Is a weighted mean the same as a weighted average?**
Yes.

**What if all weights are equal?**
It reduces to the ordinary mean.

**What formula does the Weighted Mean Calculator use?**
x̄_w = Σ wᵢxᵢ ÷ Σ wᵢ.


## Sources

- [NIST/SEMATECH e-Handbook of Statistical Methods](https://www.itl.nist.gov/div898/handbook/)