Geometric Mean Calculator Formula
Understand the math behind the geometric mean calculator. Each variable explained with a worked example.
Formulas Used
Geometric Mean
geo_mean = pow(a * b * c, 1/3)Product of Values
product_val = productVariables
| Variable | Description | Default |
|---|---|---|
a | Value 1 | 4 |
b | Value 2 | 9 |
c | Value 3 | 16 |
product | Derived value= a * b * c | calculated |
How It Works
How to Compute the Geometric Mean
Formula
Geometric Mean = (v1 * v2 * ... * vn)^(1/n)
Multiply all values together, then take the nth root where n is the number of values. The geometric mean is always less than or equal to the arithmetic mean for positive numbers, and it is particularly useful when comparing quantities that multiply together, such as annual investment returns.
Worked Example
Find the geometric mean of 4, 9, and 16.
a = 4b = 9c = 16
- 01Product = 4 * 9 * 16 = 576
- 02n = 3 values
- 03Geometric Mean = 576^(1/3) = cube root of 576 ≈ 8.3203
Ready to run the numbers?
Open Geometric Mean Calculator