Statistics

Geometric Mean Calculator

Find the geometric mean of a set of positive numbers.

Calculated Output

Geometric mean 26.052

Formula: GM = (x₁ × x₂ × … × xₙ)^(1/n)

Step-by-Step Breakdown

1. Values used:

2. Data Set = 10, 20, 30, 40, 50

4. Geometric mean = 26.052

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The math behind it

Multiply all the values, then take the nth root (n = how many values). Only works for positive numbers.

2, 8 → √16 = 4.

When to prefer it?

For percentage growth or multiplicative data, where the arithmetic mean overstates the average.