Find the average of two or more percentages, or weight them by total marks or sample sizes to get the true overall percentage.

Enter 2–50 values separated by commas, spaces, semicolons or new lines. Values over 100% and negatives are allowed.

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Average of Percentages Formula

The following formula is used to calculate the average of a group of percentages.

AV = (X1 + X2 + …) / N
  • Where AV is the average percent
  • X1, X2, etc., are the percentage values
  • N is the total number of values

Average of Percentages Definition

The simple mean gives each percentage equal weight. To combine rates with different group sizes, use the group denominators as weights: weighted mean = Σ(p × w) / Σw.

Average of Percentages Example

Example Problem #1:

First, gather all of the percentages together. For this example, the percentages are 10%, 25%, 12%, and 3%.

Next, sum all of the percentages together. Adding the values from above together yields:

= 10 + 25 + 12 + 3 = 50%.

Next, determine the total number of percentages. For this example, there were 4 percentages added together.

Finally, calculate the average of the percentages using the formula above:

AV % = (X1 + X2 + …) / N

AV % = 50%/ 4

AV % = 12.5%

FAQ

What is a percentage?

A percentage is a ratio of a number to a total of 100%. For example, 1 out of 10 would be 10%.

How to calculate the average of percentages

  1. First, sum all of the percentages together

    Add all of the percentages together to get one value. For example, if you had 1%, 2%, and 3%, the sum would be 6%.

  2. Next, count the number of values

    This is the total number of values. In the example above, this number would be 3, since there are 3 separate percentages.

  3. Calculate the average

    Enter the information into the equation above to determine the average.