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Average Percentage Calculator

Quickly calculate the average of percentages directly from your browser using this simple average percentage calculator

Are all sample sizes the same?:

Entry # 1

Sample Size:

Percentage:

Entry # 2

Sample Size:

Percentage:

Related

Add as many percentages as you like and get the average of percentages calculated precisely with respect to sample size using this free average percentage calculator. Speed up your calculations with this handy online tool.

What is the Average Percentage?

The average percentage refers to finding the average of two or more percentages, similar to finding the mean of a set of numbers. When calculating, it is important to take the sample size into account for accuracy.

How To Calculate Average Percentage?

If all sample sizes are the same, simply add all percentage values and divide by the number of percentages. If the sample sizes differ, multiply each percentage by its corresponding sample size before calculating the weighted average. Read further for formulas and examples.

Average Percentage Formula

For Different Sample Sizes (Weighted Average):

$$ \text{Average Percentage} = \frac{a_1 w_1 + a_2 w_2 + a_3 w_3 + ... + a_n w_n} {w_1 + w_2 + w_3 + ... + w_n} $$

For Same Sample Size:

$$ \text{Average Percentage} = \frac{a_1 + a_2 + a_3 + ... + a_n}{n} $$

Where:

a = percentage values
w = sample sizes
n = number of sets

If you don’t want to calculate manually, an online average percentage calculator can perform this instantly.

Example:

Suppose there are two boxes of erasers. The first box of 120 erasers has 40% green erasers, and the second box of 100 erasers has 60% yellow erasers. Calculate the average percentage.

Solution:

Use the weighted average formula since sample sizes differ:

$$ \text{Average Percentage} = \frac{(40 \times 120) + (60 \times 100)}{120 + 100} $$

$$ = \frac{4800 + 6000}{220} $$

$$ = \frac{10800}{220} = 49.09\% $$

Working of Average Percentage Calculator

This calculator determines the average of percentages in seconds by providing just a few inputs:

Inputs:

Select whether all sample sizes are the same or different
Enter the percentages and their respective sample sizes
Click the "Calculate" button

Output:

Average of Percentages
Step-by-step calculation

Instead of performing long manual calculations, this tool instantly provides accurate results.

FAQs

How do you find the average of 4 percentages?

Sum all four percentages and divide by 4. If sample sizes differ, calculate the weighted average using the formula above.

How do you calculate the average percentage over 3 years?

Sum the responses for each year and divide by the number of respondents
Add the yearly percentages and divide by 3

Using an online average percentage calculator simplifies this process.

How do I calculate average percentage in Excel?

Choose a cell and type =AVERAGE(
Enter the range of cells containing your percentages
Close the parentheses and press Enter

What is the average total mean?

The mean is the average of numbers, calculated the same way as the average percentage.

References:

From Wikipedia: Average, General Properties.

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