Average Percentage Calculator

Calculate Average Percentage



Formula

The formula to calculate the Average Percentage is:

\[ \text{Average Percentage} = \left( \frac{\sum (\text{Percentage} \times \text{Sample Size})}{\sum \text{Sample Size}} \right) \times 100 \]

Where:

What is Average Percentage?

The average percentage is a measure that combines multiple percentages, each weighted by its sample size, to provide a single overall percentage [^1^][^2^].

Example Calculation

Consider an example where the percentages and sample sizes are:

Using the formula to calculate the Average Percentage:

\[ \text{Total Weighted Percentage} = (80 \times 50) + (90 \times 30) + (85 \times 20) = 4000 + 2700 + 1700 = 8400 \]

\[ \text{Total Sample Size} = 50 + 30 + 20 = 100 \]

\[ \text{Average Percentage} = \left( \frac{8400}{100} \right) = 84 \]

This means that the average percentage for this example is 84%.