📊 Geometric Mean Calculator
Calculate geometric mean
How to Use This Calculator
Enter Positive Numbers
Type positive numbers separated by commas (e.g., 4, 9, 16). All values must be positive.
Click Calculate Geometric Mean
Get the geometric mean plus comparison with arithmetic mean.
View Results
See geometric mean, arithmetic mean, and their relationship.
Formula
GM = ⁿ√(x₁ × x₂ × x₃ × ... × xₙ)
Example 1: 4, 9, 16
Product = 4 × 9 × 16 = 576
GM = ∛576 = 8.320
Example 2: 1, 2, 3, 4
Product = 1 × 2 × 3 × 4 = 24
GM = ⁴√24 = 2.213
About Geometric Mean Calculator
The Geometric Mean Calculator computes the nth root of the product of n positive numbers. It's ideal for multiplicative data like rates, ratios, and growth percentages where arithmetic mean is inappropriate.
When to Use This Calculator
- Growth Rates: Average annual returns, compound interest
- Ratios: Aspect ratios, price-to-earnings ratios
- Scales: Multiplicative data, log-normal distributions
- Finance: Average rates of return
Why Use Our Calculator?
- ✅ Instant Results: Calculate geometric mean instantly
- ✅ Comparison: Shows arithmetic vs geometric mean
- ✅ Educational: Learn when to use geometric mean
- ✅ Completely Free: No registration required
Frequently Asked Questions
When should I use geometric vs arithmetic mean?
Use geometric mean for multiplicative data (rates, ratios, percentages). Use arithmetic mean for additive data (sums, totals).
Can geometric mean be negative?
No, geometric mean requires all positive values. Negative values or zero make it undefined.