Calculate the average of a set of products, ideal for growth rates and ratios.
Data Entry
Mean Comparison
Geometric Mean10The Multiplicative Center
Arithmetic Mean11.6667
Sample Size3
Dataset Preview
5,10,20
Note: The Geometric Mean is always lower than or equal to the Arithmetic Mean. The difference increases with data variability.
About this calculator
Overview
The geometric mean is a type of average that indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to their sum). It is primarily used when dealing with growth rates or ratios.
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Pro Tips
Use the geometric mean when average growth over time is needed, not just simple addition.
All values in the dataset must be positive; the geometric mean is undefined if any value is zero or negative.
Comparing geometric and arithmetic means can give an indication of the variability in your data.
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Mathematical Formula
The geometric mean is calculated by taking the nth root of the product of n numbers:
