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Geometric Mean Calculator

How to use the Geometric mean calculator?

Follow the below steps to evaluate the geometric mean using this calculator

This geometric mean calculator evaluates the geometric mean of the entered values; it also provides step-by-step calculations.

A geometric mean is a type of average, defined as the nth positive root of the product of the terms of the data set.

There are two different formulas to calculate the geometric mean of the given data:

Geometric mean formula

In the above formula:

When “n” is very large we use the following formula:

Geometric mean formula

Below is an example for calculating the geometric mean of ungrouped data.

Example

10, 12, 18, 20, 25, 30, 35

Solution:

Step 1: Extract the data.

X = 10, 12, 18, 20, 25, 30, 35

n = 7

Step 2: Put the values in the formula.

Geometric mean = (X₁ * X₂ . . .* X_n)^1/n

Geometric mean = (10 * 12 * 18 * 20 * 25 * 30 * 35)^1/7

Geometric mean = (1134000000) ^0.1429

Geometric mean = 19.6570