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?

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

Weighted Mean Calculator

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 Examples on Weighted Mean Calculator

Example 1:

Find weighted mean for following data set w = {2, 5, 6, 8, 9}, x = {4, 3, 7, 5, 6} and verify it using the online weighted mean calculator

Solution:

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

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

= (w₁x₁ + w₂x₂ + w₃x₃ + w₄x₄ + w₅x₅) / (w₁ + w₂ + w₃ + w₄ + w₅)

= (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

Example 2:

Find weighted mean for following data set w = {3, 6, 2, 1, 7}, x = {4, 3, 7, 5, 6} and verify it using the online weighted mean calculator

Solution:

Given data sets w = {3, 6, 2, 1, 7}, x = {4, 3, 7, 5, 6} and N = 5

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

= (w₁x₁ + w₂x₂ + w₃x₃ + w₄x₄ + w₅x₅) / (w₁ + w₂ + w₃ + w₄ + w₅)

= (3 × 4 + 6 × 3 + 2 × 7 + 1 × 5 + 7 × 6) / (3 + 6 + 2 + 1 + 7)

= (12 + 18 + 14 + 5 + 42) / 19

= 91 / 30

= 3.033

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}

☛ Related Articles:

• Weighted Average
• Mean

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