# How do you find the geometric mean of 10 numbers?

## How do you find the geometric mean of 10 numbers?

Example: What is the Geometric Mean of 10, 51.2 and 8?

1. First we multiply them: 10 × 51.2 × 8 = 4096.
2. Then (as there are three numbers) take the cube root: 3√4096 = 16.

## What is the geometric mean of 5 and 10?

The geometric mean of 5 and 10 is √(50), or approximately 7.071.

What is the meaning of geometric mean?

The geometric mean is the average rate of return of a set of values calculated using the products of the terms. Most returns in finance are correlated, including yields on bonds, stock returns, and market risk premiums.

How do you find the geometric mean example?

Basically, we multiply the numbers altogether and take the nth root of the multiplied numbers, where n is the total number of data values. For example: for a given set of two numbers such as 3 and 1, the geometric mean is equal to √(3×1) = √3 = 1.732.

### How do you calculate geometric?

In order to find the geometric mean, multiply all of the values together before taking the nth root, where n equals the total number of values in the set. You can also use the logarithmic functions on your calculator to solve the geometric mean if you want.

### What is the geometric mean of 14 and 20?

To calculate the geometric mean enter values in the input box by using our Geometric mean calculator….Some examples of Geometric Mean in the following Table.

Geometric Mean of 4/5 and 2 1.4
Geometric Mean of 25 and 35 30
Geometric Mean of 9 and 25 17
Geometric Mean of 2 and 32 17
Geometric Mean of 14 and 20 17

What is the geometric mean of 6 and 24?

12
the mean of n positive numbers obtained by taking the nth root of the product of the numbers: The geometric mean of 6 and 24 is 12.

What is the geometric mean of 8 and 12?

Some examples of Geometric Mean in the following Table.

Geometric Mean of 4/5 and 2 1.4
Geometric Mean of 6 and 13 9.5
Geometric Mean of 9 and 16 12.5
Geometric Mean of 7 and 11 9
Geometric Mean of 8 and 12 10

#### Why is the geometric mean used?

The geometric mean is used in finance to calculate average growth rates and is referred to as the compounded annual growth rate. Consider a stock that grows by 10% in year one, declines by 20% in year two, and then grows by 30% in year three.

#### How do you calculate geometric mean?

Geometric Mean Definition Basically, we multiply the ‘n’ values altogether and take out the nth root of the numbers, where n is the total number of values. For example: for a given set of two numbers such as 8 and 1, the geometric mean is equal to √(8×1) = √8 = 2√2.

When do you use a geometric mean calculator?

The geometric mean is an average that is useful for sets of positive numbers that are interpreted according to their product and not their sum (as is the case with the arithmetic mean) e.g. rates of growth. The online Geometric Mean Calculator is useful in calculating the geometric mean for the given set of numbers.

What is the geometric mean of replacing 30 with 100?

For example, replacing 30 with 100 would yield an arithmetic mean of 25.80, but a geometric mean of just 9.17, which is very desirable in certain situations. However, before settling on using the geometric mean, you should consider if it is the right statistic to use to answer your particular question.

## Which is the geometric mean of the exponents?

The arithmetic mean of the exponents (1 and 3) is 2, so the geometric mean is 2 2 = 4. This can be verified by our geometric average calculator as well. As you can see, the geometric mean is significantly more robust to outliers / extreme values.

## What is the geometric mean of a set of values?

What is the geometric mean. The geometric mean, sometimes referred to as geometric average of a set of numerical values, like the arithmetic mean is a type of average, a measure of central tendency. Due to the formula used to calculate it, all values in the dataset must have the same sign, that is, they must be all positive or all negative.