Define geometric mean and state its advantages.

1.	Define geometric mean and state its advantages.
Answer» If n observations x₁, x₂, …, x_n of the data are positive and non-zero, then nth root of the product of these observations is called geometric mean. It is denoted by G. Its formula Is as follows : G = \(n\sqrt{x_1⋅x_2⋅…⋅x_n}\) Advantages of Geometric mean: It is rigidly defined. It is based on all observations of the data. It is a stable measure. It is suitable for algebric process. It balances the effect of too large or too small observations of the data and its value is less than mean.

Answer»

If n observations x₁, x₂, …, x_n of the data are positive and non-zero, then nth root of the product of these observations is called geometric mean. It is denoted by G. Its formula Is as follows :
G = \(n\sqrt{x_1⋅x_2⋅…⋅x_n}\)

Advantages of Geometric mean:

It is rigidly defined.
It is based on all observations of the data.
It is a stable measure.
It is suitable for algebric process.
It balances the effect of too large or too small observations of the data and its value is less than mean.

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Define geometric mean and state its advantages.

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