If G is the GM of the product of r sets of observations with geometric means G1,G2,…,Gr respectively, then G is equal to

# If G is the GM of the product of r sets of observations with geometric means ${G}_{1},{G}_{2},\dots ,{G}_{r}$ respectively, then G is equal to

1. A

$\mathrm{log}{G}_{1}+\mathrm{log}{G}_{2}+\dots +\mathrm{log}{G}_{r}$

2. B

${G}_{1}\cdot {G}_{2}\cdot \dots \cdot {G}_{r}$

3. C

$\mathrm{log}{G}_{1}\cdot \mathrm{log}{G}_{2}\dots \mathrm{log}{G}_{r}$

4. D

none of these

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Taking X as the product of varieties ${X}_{1},{X}_{2},\dots ,{X}_{r}$ corresponding tor sets of observations i. e. $X={X}_{1}{X}_{2}\dots {X}_{r}$ we have