Average Formula:
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The average of percentages is calculated by summing all the percentage values and dividing by the total number of values. It provides a central value that represents the overall percentage.
The calculator uses the average formula:
Where:
Explanation: The formula calculates the arithmetic mean of percentage values, treating them as regular numbers.
Details: Calculating the average of percentages is useful in statistics, business analysis, academic grading, and performance measurement to understand overall trends from multiple percentage values.
Tips: Enter the sum of all percentage values (in %) and the count of values. Both values must be positive numbers (count must be at least 1).
Q1: Can I average percentages directly?
A: Yes, percentages can be averaged directly when they represent the same base or scale.
Q2: When shouldn't I average percentages?
A: Avoid simple averaging when percentages represent different base sizes or when weighted averages would be more appropriate.
Q3: What's the difference between average and weighted average?
A: A simple average treats all values equally, while weighted average accounts for different importance or sizes of the underlying data.
Q4: Can the average be more than 100%?
A: Yes, if the individual percentages sum to more than 100% × n, the average can exceed 100%.
Q5: How precise should the result be?
A: Typically, rounding to 2 decimal places is sufficient for most percentage average calculations.