Enter up to 10 percentage values to find their simple (arithmetic) average. Enable weighting to calculate a weighted average, useful when the groups behind each percentage are different sizes.
| # | Percentage (%) |
|---|
Please enter at least two valid percentage values.
The calculator computes the arithmetic mean of the percentage values you enter. This is the standard method for averaging a set of numbers.
When all values are equally important (for example, five separate test scores with no difference in exam weight), the formula is:
Average = (P1 + P2 + ... + Pn) / n
Where P1 through Pn are the individual percentage values and n is the count of values.
Default values: 40%, 60%, 80% (3 values, simple average).
| # | Value |
|---|---|
| 1 | 40% |
| 2 | 60% |
| 3 | 80% |
Sum = 40 + 60 + 80 = 180
Count = 3
Average = 180 / 3 = 60.00%
When each percentage applies to a different-sized group, you weight each value by the size of its group:
Weighted average = (P1 x W1 + P2 x W2 + ... + Pn x Wn) / (W1 + W2 + ... + Wn)
For example: 70% from a class of 10 and 90% from a class of 30 gives (70 x 10 + 90 x 30) / (10 + 30) = (700 + 2,700) / 40 = 85.00%.
If each percentage applies to a different number of items, a simple average can give the wrong answer. Suppose a shop sold 1 item at a 50% margin and 999 items at a 10% margin. The simple average margin is (50 + 10) / 2 = 30%, which is far above the true blended margin of (1 x 50 + 999 x 10) / 1000 = 10.04%. Always use weighted averaging when group sizes differ significantly.
Method: Arithmetic mean (simple average) and weighted arithmetic mean. Both are standard statistical operations. No external data sources are required.
This calculator performs standard arithmetic averaging of the percentage values you enter. It does not validate whether those percentages are statistically comparable. If your percentages come from different populations or measurement methods, interpret the average with care.
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