Weighted Average Calculator

Information about Weighted Average

Averages are often used to make sense of data in our daily lives. Its uses vary from calculating your grades, calculating investments, or understanding survey results. Averages have a crucial role in different places.

However, Not all data points carry the same importance, and that is where the concept of weightage comes into play. A weighted calculator is a tool that will help us consider the significance of different values, so that we can get an accurate representation of the data.

What is a Weighted Average?

A weighted average is different from a simple average. It takes account of the importance or “weight” of each value. Instead of each data having the same contribution to the calculation, a weighted average helps to give influence to some value over others. Especially when you need to prioritize some factors.

An example would be a student's final grade. Some subjects might have more worth than others. Let's take an example of Maths and a Language Subject. Let us assume that the Math subject has a higher weightage and the Language Subject has a lower weightage compared to Maths. In this case, Maths would weigh heavily in the calculation of the final grade. A weighted average adjusts by multiplying each score by its respective weight before summing them up.

How to calculate a Weighted Average?

The general formula to calculate the Weighted average is:

\overline{x} = \frac{\sum{(x_i \times w_i)}}{\sum{w_i}} = \frac{x_1w_1 + x_2w_2 + ... + x_nw_n}{w_1 + w_2 + ... + w_n}

Where,

• x_i represents each individual value.
• w_i represents the corresponding weight for each value.
• The numerator is the sum of each value multiplied by its weight.
• The denominator is the sum of all the weights.

Example:

Let us assume the mark you got in Maths is 60, and its weightage is 40%. You got 70 in Literature, and its weightage is 30%. You got 60 in History, and its weightage is also 30%.

Weighted Average would be:

\overline{x} = \frac{(60 \times 40) + (70 \times 30)+ (60 \times 30)}{40 + 30 + 30}

\overline{x} = \frac{2400 + 2100 + 1800}{100}

\overline{x} = \frac{6300}{100}

\overline{x} = 63

So, The final weighted average is  63.

About our Weighted Average Calculator

With the help of our weighted average calculator, you can easily add or remove the numbers and their weight and you'll also be able to see the process.

Just enter The Numbers and weights serially in the Number and Weight fields, then click on Calculate.

If you want to add more fields, click on “+ Add Field”, If you want to remove the last field, click on "- Remove last" 

Hope our Weighted Average Calculator helped you!

Last Updated: 2024/08/24