Average numbers the right way when they represent rates, ratios, or compounding growth. Paste a list of positive values and the tool returns the geometric mean, the nth root of the product of all n values. Unlike the ordinary arithmetic mean, the geometric mean does not overstate results when values multiply rather than add, which is why finance uses it for average annual returns and why it suits index numbers and population growth. To stay accurate for long lists, the tool sums the logarithms of your values and exponentiates the average, avoiding overflow from multiplying many numbers together. All inputs must be greater than zero, since a single zero or negative value makes the geometric mean undefined. The tool also shows the arithmetic mean for comparison. Everything is computed locally in your browser, so your data never leaves the page.
It is the nth root of the product of n numbers, the right average for growth rates, ratios and investment returns.
Use the geometric mean when values multiply over time, such as compound growth, where the plain average would overstate the result.
The product and its root are only defined for positive values, so zero or negative inputs are not allowed.
Average numbers the right way when they represent rates, ratios, or compounding growth. Paste a list of positive values and the tool returns the geometric mean, the nth root of the product of all n values.
Yes. Geometric Mean Calculator is completely free, with no sign-up and no usage limits.
Yes. Geometric Mean Calculator runs in any modern web browser. There is nothing to download or install.
Yes. Geometric Mean Calculator runs entirely on your device in your browser, so nothing you enter is uploaded to a server.