# Geometric Mean Calculator

Cuemath's Geometric Mean Calculator is an online tool that helps to calculate the geometric mean for the given numbers.

## What is the Geometric Mean Calculator?

Cuemath's online Geometric Mean Calculator helps you to calculate the geometric mean for the given numbers in a few seconds.

## How to Use Geometric Mean Calculator?

Please follow the steps below to find the geometric mean for the given numbers:

**Step 1:**Enter the numbers in the given input box.**Step 2:**Click on the**"Calculate"**button to find the geometric mean for the given numbers.**Step 3:**Click on the**"Reset"**button to clear the fields and find the geometric mean for the different numbers.

## How to Find Geometric Mean Calculator?

A mean or average indicates the central tendency of a set of numbers. It is defined as the n^{th} root of the product of n numbers. The geometric mean is calculated using the formula:

** Geometric mean = (x _{1} × x_{2} × x_{3}...× x_{n})^{1/n}, **where n = total number of terms, x

_{1},

_{ }x

_{2},

_{ }x

_{3}, . . . , x

_{n}= Different n terms

**Solved Example:**

Find the geometric mean of 1,3,5,7,9

**Solution:**

The geometric mean is given as (x_{1} × x_{2} × x_{3}...× x_{n})^{1/n}

= (1 × 3 × 5 × 7 × 9)^{1/5}

= (945)^{1/5}

= 3.936

Similarly, you can try the calculator to find the geometric mean for the following:

a) 2,4,6,8,12,14,15

b) 5,15,17,5,6