Calculate the geometric mean of any set of positive numbers.
Last updated: June 2026 | By Patchworkr Team
Enter positive numbers to calculate the geometric mean and compare it with the arithmetic mean.
The geometric mean is the right average for multiplicative data such as growth rates and ratios.
For positive numbers, the geometric mean is always less than or equal to the arithmetic mean.
Example: the geometric mean of 4 and 9 is 6.
Find the geometric mean of 4 and 9.
1. Multiply: 4 x 9 = 36
2. Take the square root: sqrt(36) = 6
Final answer: 6
When should I use geometric mean?
Use it for growth rates, ratios, percentages, and other multiplicative data.
Can I use negative numbers?
No. This calculator is limited to positive values because the standard geometric mean is defined that way here.
What if all numbers are the same?
Then the geometric mean equals the arithmetic mean.
Why are blank inputs rejected?
That keeps the result explicit instead of silently ignoring missing values.
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