# Weighted Mean Calculator

Need to calculate the weighted mean of a set of numbers? The **Weighted Mean Calculator** is the tool you need. Enter the weights and values into the calculator to find the weighted mean.

### How to Use the Calculator

Using the **Weighted Mean Calculator** is simple. Here is how you can do it:

**Weights (wi)**: Enter the weights. For example,`1, 2, 3`

.**Values (xi)**: Enter the values. For instance,`4, 5, 6`

.**Weighted Mean (WM)**: The calculator will display the result here.

Click "Calculate" to get the weighted mean.

### What Is Weighted Mean?

The **Weighted Mean** is an average where each value has a specific weight. It is useful when some values count more than others.

### Formula

The formula to calculate the weighted mean is:

Variables

Variable | Description |
---|---|

$wi$ | Weight of the $i$-th value |

$xi$ | The $i$-th value |

$WM$ | Weighted Mean |

### Calculation Examples

#### Example 1

**Weights**: $1,2,3$**Values**: $4,5,6$

**Step-by-Step Calculation**:

- Identify the values: $wi=1,2,3$ and $xi=4,5,6$.
- Calculate the sum of weighted values: $(1\cdot 4)+(2\cdot 5)+(3\cdot 6)=4+10+18=32$
- Calculate the sum of weights: $1+2+3=6$.
- Calculate the weighted mean: $WM=\frac{32}{6}=5.33$.

**Result**: The weighted mean is $5.33$.

#### Example 2

**Weights**: $2,3,4$**Values**: $7,8,9$

**Step-by-Step Calculation**:

- Identify the values: $wi=2,3,4$and $xi=7,8,9$.
- Calculate the sum of weighted values: $(2\cdot 7)+(3\cdot 8)+(4\cdot 9)=14+24+36=74$.
- Calculate the sum of weights: $2+3+4=9$.
- Calculate the weighted mean: $WM=\frac{74}{9}\approx 8.22$.

**Result**: The weighted mean is $8.22$.

I hope you found our Weighted Mean Calculator helpful and you easily found out the weighted mean of any set of values. This tool simplifies the process and ensures accuracy. In case you are facing any error you can report us.