The geometric mean of the observations x₁, x₂, x₃, … x_n is G₁. The geometric mean of the observations y₁, y₂, y₃,… y_n is G₂. The geometric mean of observations is

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NDA (Held On: 16 Dec 2015) Maths Previous Year paper

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Answer 1

Concept:

Geometric mean =

Where a₁,a₂…..a_n are given terms.

Calculation:

The geometric mean of the observations x₁, x₂, x₃, … x_n is G₁

∴ G₁ = (x₁ x₂ x₃ … x_n)^(1/n) …. (1)

Similarly,

G₂ = (y₁ y₂ y₃ … y_n)^(1/n) …. (2)

Now, the geometric mean of observations

=

(from (1) and (2))

Hence, option (3) is correct