# Weighted Mean Calculator

The weighted mean is a type of mean that is calculated by multiplying the weight associated with a particular event or outcome with its associated quantitative outcome and then summing all the products together.

## What is Weighted Mean Calculator?

'Cuemath's Weighted Mean Calculator' is an online tool that helps to calculate the weighted mean for the given data sets. Cuemath's online Weighted Mean Calculator helps you to calculate the weighted mean in a few seconds.

## How to Use Weighted Mean Calculator?

Please follow the below steps to calculate the weighted mean:

**Step 1:**Enter the data set of weights(w) and quantities(x) in the given input boxes.**Step 2:**Click on the**"Calculate"**button to calculate the weighted mean.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the new data set values.

## How to Find Weighted Mean Calculator?

The **weighted mean** is defined as the summation of the product of weights and quantities, divided by the summation of weights.

**Weighted mean = ****∑(weights × quantities) / ∑(weights)**

Note: The value of N in data set w and x should be equal.

**Solved Example:**

Find weighted mean for following data set w = {2, 5, 6, 8, 9}, x = {4, 3, 7, 5, 6}

**Solution:**

Given data sets w = {2, 5, 6, 8, 9}, x = {4, 3, 7, 5, 6} and N = 5

Weighted mean = ∑(weights × quantities) / ∑(weights)

= (w_{1}x_{1} + w_{2}x_{2 }+ w_{3}x_{3 }+ w_{4}x_{4} + w_{5}x_{5}) / (w_{1} + w_{2} + w_{3} + w_{4} + w_{5})

= (2 × 4 + 5 × 3 + 6 × 7 + 8 × 5 + 9 × 6) / (2 + 5 + 6 + 8 + 9)

= ( 8 + 15 + 42 + 40 + 54) / 30

= 159 / 30

= 5.3

Similarly, you can use the calculator to find the weighted mean for the following:

- w = {5, 6, 8, 11, 4, 6} and x = {1, 4, 3, 7, 9, 12}
- w = {15, 6, 5, 1, 4, 16} and x = {11, 14, 3, 5, 2, 12}

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