Geometric Mean Calculator
The geometric mean is an average for numbers that multiply together, such as yearly growth factors or ratios. It answers the question: what single steady value would give the same final result? Use it when the regular average would mislead you.
- Free
- Works offline after your first visit
- Saves on this device
- No sign-up
- Updated
How it works
Multiply all the numbers together, then take the root of that product with the same count as the numbers. For three numbers, that is the cube root of their product.
All the numbers must be positive. A zero or negative number has no meaningful geometric mean here.
Worked example
The geometric mean of your 3 numbers is 4, while their regular average is 4.6667.
Questions
When should I use this instead of the average?
Use it for numbers that compound, like yearly returns or a series of growth rates. For plain amounts, the regular average is the usual choice.
How do I enter the list?
Spaces, new lines or commas all work to separate the numbers.
What if a number is a percent?
Turn it into a multiplier first. A 10% gain is 1.1, and a 10% loss is 0.9.
More like this
- Arithmetic and Geometric Sequence CalculatorAny term and the sum of a number sequence.
- Percent Change CalculatorPercent up or down between two numbers.
- Average CalculatorMean of a list of numbers.
- Percent Difference CalculatorGap between two values, as a share of their average.
- Standard Deviation CalculatorSpread of a list of numbers.
- Weighted Average CalculatorAverage where some values count more.