Weighted Average Calculator

This calculator determines the weighted average (mean) associated with the entered data values and weights.

How to Use the Weighted Average Calculator?

First, input the data values and weights.
The tool allows you to add more rows using the 'Add Row' button.
Press the 'Calculate' button.
Finally, the tool returns the weighted average, sum of weights, and calculation.

The weighted average (mean) is calculated using the following formula:

						
									Weighted Average (x) =  
									∑ (wi · xi)
∑ (wi)

Where,
w_i = Weight assigned to the i^th product,
x_i = Data value,
∑ = Sum of all the terms.

The formula can also be expressed as:

						
									x =  
									w1x1 + w2x2 + ... + wnxn
w1 + w2 + ... + wn

Let's take an example.

Suppose, you have class grades 77, 86, and 91, with weights of 5, 3, and 6. Calculate the weighted average for the given data.

Here,
x₁ = 77
x₂ = 86
x₃ = 91

w₁ = 5
w₂ = 3
w₃ = 6

Now put all the values into the formula.

x =

(5 × 77) + (3 × 86) + (6 × 91)

5 + 3 + 6

x =

385 + 258 + 546

x =

1189

Weighted Average (x) = 84.93.