How to Calculate Geometric Mean
What is Geometric Mean?
The geometric mean is the nth root of the product of n numbers. It's used for rates of change, growth rates, and situations where multiplicative processes occur.
Formula
GM = ⁿ√(x₁ × x₂ × ... × xₙ)
Step-by-Step Guide
- 1Multiply all n numbers together
- 2Take the nth root of the product
- 3Use logarithms to avoid overflow with large numbers
Worked Examples
Input
Numbers: 2, 8, 4
Result
GM = 4
∛(2×8×4) = ∛64 = 4
Common Mistakes to Avoid
- ✕Using arithmetic mean instead
- ✕Root degree not matching number of values
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