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In a given sequence, there are two possible means calculatable: Arithmetic Mean, and Geometric Mean. The arithmetic mean, as we all know, is calculated from the sum of all the numbers divided by how many numbers there are: Sumn/n. The Geometric sum is calculated by multiplying all the numbers within the sequence together and taking the nth root of this value: (Productn)(1/n).

In a geometric series, N(i)= a(ri), the geometric mean is found to be a(rn-1), where n is the number of elements within the series. this decreases or increases exponentially depending on the r value. If r<1 , then decreasing, r=1, remains constant, r>1, increasing.

Limitation Of Geometric Mean are:-

1) Geometric mean cannot be computed when there are both negative and positive values in a series or more observations are having zero value.

2)Compared to Arithmetic Mean this average is more difficult to compute and interpret.

-Iwin

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Geometric properties refer to the characteristics and attributes of shapes and figures in geometry, such as size, area, volume, angles, and symmetry. These properties help in understanding the relationships between different geometric figures and their dimensions. They are essential in various applications, including architecture, engineering, and computer graphics, as they provide the foundational knowledge needed to analyze and manipulate shapes.


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advantages of geometric mean


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The geometric mean of 8 is: 8.0


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The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".


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