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Geometric Mean Calculator

Enter the data set and separate each number with comma. Hit the Calculate button to find the geometric mean using geometric means calculator.

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Geometric mean calculator is an online statistical tool that calculates the geometric mean of the sample data set.

What is geometric mean?

Geometric mean is a type of average which indicates the central tendency of a set of numbers by using the product of their values. The geometric mean is defined as the nth root of the product of n numbers.

Geometric mean formula

Geometric mean formula

Where,

n is the total numbers of samples,

x1, x2, x3,…. are individual values in the data set.

How to find geometric mean?

To calculate geometric mean of the given data set, follow the below example.

Example:

Find the geometric mean of the following set of data.

3, 5, 2, 9, 4, 1, 5, 2

Solution:

Step 1: Identify the values.

x1 = 3, x2 = 5, x3 = 2, x4 = 9, x5 = 4, x6 = 1, x7 = 5, x8 = 2

N = 8

Step 2: Write the geometric mean formula and place the values.

geometric mean equation

geomean calc

G.M = (10800)1/8

G.M = (10800)0.125

G.M = 3.1928

Geometric Mean Table

Geometric Mean of 4 and 9

6

Geometric Mean of 4 and 10

6.3246

Geometric Mean of 4 and 12

6.9282

Geometric Mean of 4 and 16

8

Geometric Mean of 5 and 20

10

Geometric Mean of 2 and 8

4

Geometric Mean of 2 and 25

7.0711

Geometric Mean of 8 and 12

9.7980

Geometric Mean of 9 and 16

12

Geometric Mean of 8 and 18

12

Geometric Mean of 5 and 15

8.6603

Geometric Mean of 5 and 10

7.0711

Geometric Mean of 100 and 25

50

Geometric Mean of 4,6 and 9

6

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