# Geometric mean calculator

# Geometric mean calculator

**To calculate the geometric mean of a set of numbers:**

- Multiply all the numbers together.
- Take the nth root of the product, where n is the total number of values in the set.

Alternatively, you can use the following formula:

GM = (x1 * x2 * x3 * … * xn)^(1/n)

where GM is the geometric mean, x1, x2, x3, …, xn are the values, and n is the total number of values in the set.

For example, to find the geometric mean of the numbers 2, 4, and 8:

- Multiply them together: 2 * 4 * 8 = 64
- Take the cube root of 64: ∛64 = 4

So the geometric mean of 2, 4, and 8 is 4.

## Geometric mean

Geometric mean is a type of mean that is calculated by taking the nth root of the product of n numbers. It is used to find the average of a set of numbers that are multiplied together.

For example, the geometric mean of the numbers 2, 3, and 4 can be calculated as:

Geometric mean = (2 x 3 x 4)^(1/3) = 2.884

This means that if we have a series of numbers and we want to find the average growth rate or average ratio, we can use the geometric mean. It is particularly useful when dealing with ratios, such as investment returns or changes in population.