Difference Between Arithmetic Mean and Geometric Mean
The difference between Arithmetic Mean and the Geometric Mean is explained in the table below,
Arithmetic Mean |
Geometric Mean |
---|---|
Arithmetic mean is the measure of the central tendency it is found by taking sum of all the values and then dividing it by the numbers of values. |
Geometric mean is also the measure of the central tendency. It is calculating by first taking the product of all n value and then taking the n the roots of the values. |
Arithmetic Mean Formula, AM = (Sum of Value)/(Number of Values) AM = (x1 + x2 + … + xn)/n |
Geometric Mean Formula, GM = (x1 × x2 × … × xn)1/n |
Example: Find the arithmetic mean of 4, 6, 10, 8 Given values,
Number of Values = 4 Sum of Value = 4+6+10+8 = 28 AM = 28/4 = 7 |
Example: Find the geometric mean of 4, 6, 10, 8 Given values,
Number of Values = 4 Product of Value = 4×6×10×8 = 1920 GM = (1920)1/4 = 6.2 |
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