Dataset
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Math calculator
Average Calculator
Paste numbers separated by spaces, commas, tabs, or new lines. Get mean, median, mode, sum, count, standard deviation, range, RMS, geometric mean, and a quick distribution view.
Average calculation steps
Average = Sum / Count = (1 + 2 + 5 + 2 + 6 + 6) / 6 = 22 / 6 = 3.6667.
Values graph
Distribution graph
Weighted average calculator
Enter one value and one weight per line. Example: grades with credit hours, prices with quantities, or scores with importance weights.
Weighted average78.3333470 / 6
Average formulas
| Statistic | Formula | Meaning |
|---|---|---|
| Average (mean) | sum / count | Add all values and divide by how many values there are. |
| Median | middle sorted value | Sort values and take the middle, or average the two middle values. |
| Mode | most frequent value | The value or values that appear most often. |
| Population SD | sqrt(sum((x - mean)^2) / n) | Spread when the data is the full population. |
| Sample SD | sqrt(sum((x - mean)^2) / (n - 1)) | Spread when the data is a sample. |
| Weighted average | sum(value x weight) / sum(weight) | Mean where some values count more than others. |
Example
The average of 1, 2, and 5 is (1 + 2 + 5) / 3 = 2.6667. For 1, 2, 5, 2, 6, 6, the sum is 22 and the count is 6, so the average is 3.6667.
FAQ
What separators can I use?
You can use spaces, commas, semicolons, tabs, or line breaks. The calculator extracts valid numbers automatically.
Why are sample and population standard deviation different?
Sample standard deviation divides by n - 1 to estimate spread from a sample. Population standard deviation divides by n when the dataset is the complete population.
Can the geometric mean use negative numbers?
No. Geometric mean is only shown when every value is greater than zero.