Calculate Geometric Mean with Negative Numbers
The geometric mean is a measure of central tendency that represents the nth root of the product of n numbers. Unlike the arithmetic mean, it can be used with negative numbers. This calculator helps you find the geometric mean of a set of numbers, including negatives.
- Enter a comma-separated list of numbers in the input field. You can include negative numbers.
- Click the “Calculate” button.
- View the result below the calculator.
The formula for the geometric mean (GM) is:
GM = nth root of (a * b * c * … * n)
Where ‘n’ is the number of values and ‘a’, ‘b’, ‘c’, …, ‘n’ are the values themselves. The calculator uses this formula to find the geometric mean of the input numbers.
| Arithmetic Mean | Geometric Mean |
|---|---|
| -2, -3, 4 | -1.4 |
| -2, -3, -4 | -3.46 |
- Geometric mean is useful when dealing with multiplicative changes, like growth rates.
- It’s less affected by outliers and extreme values compared to the arithmetic mean.
What if I enter non-numeric characters?
The calculator will ignore them and only process the numeric values.
For more information, see the geometric mean explanation from Math is Fun.
Another useful resource is the mean, median, and mode explanation from Khan Academy.