Geometric Mean
What is Geometric Mean?
Geometric mean of numbers is time measure of the central tendency that is used to find the central values of the given data set. It is found by taking the product of all the given value and then taking the nth roots of the number.
What is Formula for Geometric Mean?
The formula to calculate the geometric mean is added below, suppose we gave n numbers x1, x2, …. xn then the geometric mean formula is,
GM = (x1 × x2 × … × xn)1/n
What is AM, GM Inequality?
The AM and GM inequality is the inequality that states that, AM is always greater than equal to the GM. This is represented as,
A.M ≥ G.M
What is Relation Between AM, GM and HM?
For given n numbers the relation between AM, GM and HM is,
GM2 = AM × HM
What is Geometric Mean in Statistics?
The geometric mean in statistics is the average multiple of all the value of the given numbers. Geometric mean is found by taking the multiple of all the number and then taking the n th root of the number.
What is the Geometric Mean of 4 and 6?
The geometric mean of 4 and 6 is 4.89 (approx).
What is the Geometric Mean of 4 and 66?
The geometric mean of 4 and 16 is 8.
What is the Geometric Mean of 9 and 4?
The geometric mean of 9 and 4 is 6.
Geometric Mean Formula
Geometric Mean is the measure of the central tendency used to find the central value of the data set in statistics. There are various types of mean that are used in mathematics including Arithmetic Mean(AM), Geometric Mean(GM), and Harmonic Mean(HM). In geometric mean, we first multiply the given number altogether and then take the nth root of the given product.
In this article, we will learn about Geometric Mean Definition, Geometric Mean Formula, Examples, and others in detail.
Table of Content
- What is Geometric Mean?
- Geometric Mean Definition
- Geometric Mean Formula
- Geometric Mean Formula Derivation
- Geometric Mean of Two Numbers
- Arithmetic Mean Vs Geometric Mean
- How to Find the Geometric Mean
- Relation Between AM, GM and HM
- Geometric Mean Properties
- Geometric Mean Theorem
- Application of Geometric Mean
- Geometric Mean Examples
- Practice Questions on Geometric Mean
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