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It is about finding the average from a set of numbers. The main fundamental of the geometric mean is to multiply the numbers or parts and then find out the square root of the total number of parts, i.e., n. It is used to find the mean of a data set which is later measurable in different units. The formula of Geometric Mean can be written as:
(nπi=1ai)1/n or simply as N√(x1*x2*x3*x4….xn)
The arithmetic mean is also the same as Geometric Mean but different in calculating the process. Arithmetic Mean is simply defined as adding up the total numbers or parts and dividing it by the total numbers or parts depicted within the problem. The formula can be written as:
The Harmonic Mean is generally the same as the Arithmetic Mean but has two more extra steps. It is finding the multiplicative inverse of each number, i.e., for x, it would be 1/x or x-1. After that, we have to add up and divide the same as we did in the arithmetic mean. After that, we have to take that inverse too. The formula of Harmonic Mean can be written as:
Let us calculate the Geometric Mean of a set of numbers: 1, 5, 9, 13 and 27
Solution: The Geometric Mean of the set of numbers 1, 5, 9, 13, and 27 can be known using the formula: N√(x1*x2*x3*x4….xn)
Thus, there are 5 numbers, and the Geometric Mean of the set is 6.91.
The different benefits of the Geometric Mean are as follows.
There are a few drawbacks of using Geometric Mean, and they are as follows.
These are a few basic points regarding Geometric Mean. To find out more about Geometric Mean or Arithmetic Progression, do get in touch with Cuemath. It is an online platform that excels in teaching maths and coding.
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