The geometric mean formula is the process of finding the average for the given set of data. The geometric mean is calculated by multiplying the given n numbers and then finding the square root for the multiplied number as the nth root. This geometric mean is similar to the arithmetic mean. This article has the details about the formula for geometric mean.
Steps to Find Geometric Mean Formula
Step 1: First multiply the given n numbers.
Step 2: Then find the nth root for the multiplied numbers.
The formula used to find the geometric mean value is
`root(n)(x1, x2 . . . .xn)`
Where x1, x2 . . . .xn are the given n numbers. Please express your views of this topic Discrete Random Variable Definition by commenting on blog.
Examples on Geometric Mean Formula
Example 1 for the formula for geometric mean:
Find the geometric mean for the data 5, 6, 8, 12.
Solution:
The given data for finding the geometric mean value is 5, 6, 8, 12.
In this given data first multiply the given set of data
5 x 6 x 8 x 12 = 2880
Then find the fourth root for the multiplied number, because there are four numbers.
Geometric mean = `root(4) (2880)`
Geometric mean = 7.325
The geometric mean value for the 5, 6, 8, 12 is 7.325.
Example 2 for the formula for geometric mean:
Find the geometric mean for the data 10, 11, 12.
Solution:
The given data for finding the geometric mean value is 10, 11, 12.
In this given data first multiply the given set of data
10 x 11 x 12 = 1320
Then find the cube root for the multiplied number, because there are three numbers.
Geometric mean = `root(3) (1320)`
Geometric mean = 10.97
The geometric mean value for the 10, 11, 12 is 10.97.
Example 3 for the formula for geometric mean:
Find the geometric mean for the data 1, 3, 5, 7, 9.
Solution:
The given data for finding the geometric mean value is 1, 3, 5, 7, 9.
In this given data first multiply the given set of data
1 x 3 x 5 x 7 x 9 = 945
Then find the fifth root for the multiplied number, because there are five numbers.
Geometric mean = `root(5) (945)`
Geometric mean = 3.93
The geometric mean value for the 1, 3, 5, 7, 9 is 3.93.
Steps to Find Geometric Mean Formula
Step 1: First multiply the given n numbers.
Step 2: Then find the nth root for the multiplied numbers.
The formula used to find the geometric mean value is
`root(n)(x1, x2 . . . .xn)`
Where x1, x2 . . . .xn are the given n numbers. Please express your views of this topic Discrete Random Variable Definition by commenting on blog.
Examples on Geometric Mean Formula
Example 1 for the formula for geometric mean:
Find the geometric mean for the data 5, 6, 8, 12.
Solution:
The given data for finding the geometric mean value is 5, 6, 8, 12.
In this given data first multiply the given set of data
5 x 6 x 8 x 12 = 2880
Then find the fourth root for the multiplied number, because there are four numbers.
Geometric mean = `root(4) (2880)`
Geometric mean = 7.325
The geometric mean value for the 5, 6, 8, 12 is 7.325.
Example 2 for the formula for geometric mean:
Find the geometric mean for the data 10, 11, 12.
Solution:
The given data for finding the geometric mean value is 10, 11, 12.
In this given data first multiply the given set of data
10 x 11 x 12 = 1320
Then find the cube root for the multiplied number, because there are three numbers.
Geometric mean = `root(3) (1320)`
Geometric mean = 10.97
The geometric mean value for the 10, 11, 12 is 10.97.
Example 3 for the formula for geometric mean:
Find the geometric mean for the data 1, 3, 5, 7, 9.
Solution:
The given data for finding the geometric mean value is 1, 3, 5, 7, 9.
In this given data first multiply the given set of data
1 x 3 x 5 x 7 x 9 = 945
Then find the fifth root for the multiplied number, because there are five numbers.
Geometric mean = `root(5) (945)`
Geometric mean = 3.93
The geometric mean value for the 1, 3, 5, 7, 9 is 3.93.
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