what is geometric mean and how is it solved?
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what is geometric mean and how is it solved?
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Answer:
Geometric mean formula, as the name suggests, is used to calculate the geometric mean of a set of numbers. To recall, the geometric mean (or GM) is a type of mean that indicates the central tendency of a set of numbers by using the product of their values. It is defined as the nth root of the product of n numbers. It should be noted that you cannot calculate the geometric mean from the arithmetic mean. In statistics, the geometric mean is well defined only for a positive set of real numbers. Example of using the formula for the geometric mean is to calculate the central frequency f0 of a bandwidth BW= f2–f1. |
Step-by-step explanation:
Question 1: Find the geometric mean of 4 and 3.
Solution: Using the formula for G.M., the geometric mean of 4 and 3 will be:
Geometric Mean will be √(4×3)
= 2√3
So, GM = 3.46
Question 2: What is the geometric mean of 4, 8, 3, 9 and 17?
Solution:
Step 1: n = 5 is the total number of values. Now, find 1/n.
1/5 = 0.2.
Step 2: Find geometric mean using the formula:
(4 × 8 × 3 × 9 × 17)0.2
So, geometric mean = 6.814
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Answer:
geometric mean is a type or a special type of average where we multiply the number together and then take a square root( for two num ) or 3 etc
Step-by-step explanation: