If Mgx is the G.M. Nx's and Mgy is the G.M. of Ny's, then G.M. of 2N values is given by

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If $M_{g x}$ is the G.M. $N x' s and M_{g y}$ is the G.M. of $N y' s$ , then G.M. of $2 N$ values is given by

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$M_{g x} \cdot M_{g y}$

$M_{g x} - M_{g y}$

$M_{g x} + M_{g y}$

$\sqrt{M_{g x} \cdot M_{g y}}$

answer is B.

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Detailed Solution

Problem given $\sqrt[n]{x_{1} \cdot x_{2} \dots x_{n}} = M_{g x}; \sqrt[n]{y_{1} y_{2} \dots y_{n}} = M_{g y}$

Now, $\sqrt[2 n]{x_{1} \cdot x_{2} \dots x_{n} . y_{1} . y_{2} \dots y_{n}} = {(M_{g x} \cdot M_{g y})}^{\frac{1}{2}}$

$= \sqrt{M_{g x} \cdot M_{g y}}$

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