Geometric Mean Calculator

About this tool

What Is the geometric mean? Geometric Mean Calculator. The geometric mean calculator returns the n-th root of the product of your numbers, which makes it the correct average for multiplicative data like growth rates and ratios. The geometric mean of a set is (x₁·x₂·…·xₙ)^(1/n). Multiplying all values and taking the n-th root converts a product into a typical single value used when things grow multiplicatively. For any positive data, the geometric mean is always less than or equal to the arithmetic mean. Both are printed together so the difference is visible immediately. G = (x₁·x₂·…·xₙ)^(1/n). How to Use Type positive values, one number per field (a comma list is also accepted). Make sure values are above zero, since products of negatives are ambiguous. Read the geometric mean computed to 6 decimal places. Worked Example For 2 and 8 the geometric mean is √(2·8) = 4, while the arithmetic mean is 5. For 100% growth over 4 years modeled as 2, 2, 2, 2, the geometric mean correctly returns 2. Common Use Cases average investment growth over years normalising price ratios across markets biological and enzyme-rate data comparing dimensionless indices Important Notes Only positive numbers are meaningful — the tool rejects zero and negatives. Results match growth-rate interpretation: an average return is multiplicative. Everything is computed locally. Related Tools Average Calculator Wei