Geometric Mean Calculator
GM = (x₁ · x₂ · ... · xₙ)^(1/n). Right "average" for ratios, growth rates, multiplicative quantities.
Result
General calculation reads
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How to use this calculator
- Enter positive numbers (the calculator rejects zero or negative).
- Read GM and compare to AM.
About this calculator
The geometric mean is the right average for multiplicative quantities — investment returns, growth rates, or ratios. For a sequence of growth multipliers, GM gives the constant rate that would produce the same total growth. AM-GM inequality: GM ≤ AM, with equality only when all values are equal.
Frequently asked
When should I use geometric mean over arithmetic mean?+
Why are negative numbers not allowed?+
Compound annual growth rate (CAGR)?+
Why is GM always ≤ AM?+
How does this differ from harmonic mean?+
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