# How do you find the geometric mean of 5 and 12?

## How do you find the geometric mean of 5 and 12?

Multiply the values you want to find the geometric mean for.

1. For example, if the value set is 3, 5, and 12, then you would write: (3 x 5 x 12) = 180.
2. For another example, if you want to find the geometric mean for the set 2 and 18, then write: (2 x 18) = 36.

What is the geometric mean of a number?

In mathematics, the geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

### How do you find the geometric mean of 5 and 20?

1. I set geometric mean as x . From definition of geometric mean,
2. 5x=x20.
3. x⋅x=20⋅5.
4. x2=100.
5. x=10.

How do you find the geometric mean of 5 numbers?

Example: What is the Geometric Mean of 1, 3, 9, 27 and 81?

1. First we multiply them: 1 × 3 × 9 × 27 × 81 = 59049.
2. Then (as there are 5 numbers) take the 5th root: 5√59049 = 9.

## What is the geometric mean of 3 and 6?

Geometric Mean Theorem The product of 3 x 6 x 12 = 216. The cube root (the third root) of 216 is 6. Our geometric mean is 6.

How to calculate the geometric mean of 2 and 8?

Calculate the geometric mean of 2 and 8 Let a = 2 and b = 8 Here, the number of terms, n = 2 If n =2, then the formula for geometric mean = √(ab) Therefore, GM = √(2×8) GM =√16 = 4 Therefore, the geometric mean of 2 and 8 is 4.

### What are the properties of the geometric mean?

Geometric Mean Properties Some of the important properties of the G.M are: The G.M for the given data set is always less than the arithmetic mean for the data set If each object in the data set is substituted by the G.M, then the product of the objects remains unchanged.

When to use the G.M or geometric mean?

The products of the corresponding items of the G.M in two series are equal to the product of their geometric mean. The greatest assumption of the G.M is that data can be really interpreted as a scaling factor. Before that, we have to know when to use the G.M.

## Which is more accurate arithmetic mean or geometric mean?

The geometric mean is more accurate and effective when there is more volatility in the data set. The arithmetic mean will give a more accurate answer, when the data sets independent and not skewed. Therefore, the geometric mean of 2 and 8 is 4.