Here we will understand the calculation of the geometric mean through an example. Calculation of the Geometric Mean Here we have a set of two numbers, 10 and 20.

Now we will find the geometric mean of a set of numbers by multiplying all the numbers together and then taking the n-th root of the product, where n is the total number of values. For two numbers, say 10 and 20, the geometric mean (GM) is calculated as follows:

$��=\sqrt{10\times 20}$

$��=\sqrt{200}$

$��\approx 14.1421356237$

So, the geometric mean of 10 and 20 is approximately 14.142.

if you have more sets of numbers. so use this formula. for geometric mean calculation.

In general, for $�$ numbers ${�}_1,{�}_2,\dots ,{�}_{�}$, the geometric mean ($��$) is calculated as.

$��=\sqrt[�]{{�}_1\times {�}_2\times \dots \times {�}_{�}}$

This formula extends to any number of values in the set.