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The geometric mean of the observations x ₁, x ₂, x ₃, . . x _ n is G ₁ , The geometric mean of the observations y ₁, y ₂, y ₃, y _ n is G ₂ . The geometric mean of observations x₁ y₁ , x₂ y₂ , x₃ y₃ , . x_n y_n is

Options

  1. AG ₁ G ₂
  2. B( G ₁ G ₂ )
  3. CG ₁ G ₂
  4. D( G₁ G₂ )

Correct answer

C. G ₁ G ₂

Step-by-step solution

aligned & G ₁= [ x ₁ x ₂ x ₃ x _ n ]^ 1 / n & G ₂= [ y ₁ y ₂ y ₃ y _ n ]^ 1 / n & G ₁ G ₂ = [ x ₁ y ₁ x ₂ y ₂ x ₃ y ₃ x _ n y _ n ]^ 1 / n & G ₁ G ₂ is the G.M of x ₁ y ₁ , x ₂ y ₂ , x ₃ y ₃ , . x _ n y _ n aligned

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