A) \[\frac{\text{5}0+\text{75}+\text{6}0+\text{8}0+\text{55}}{\text{2}+\text{3}+\text{3}+\text{2}+\text{1}}\]
B) \[\frac{~\left( \text{5}0\times \text{2} \right)+\left( \text{75}\times \text{3} \right)+\left( \text{6}0\times \text{3} \right)+\left( \text{8}0\times \text{2} \right)+\left( \text{55}\times \text{1} \right)}{5}\]
C) \[\frac{\text{5}0\times \text{2}+\text{75}\times \text{3}+\text{6}0\times \text{3}+\text{8}0\times \text{2}+\text{55}\times \text{1}}{\text{2}+\text{3}+\text{3}+\text{2}+\text{1}}\]
D) none
Correct Answer: C
Solution :
\[\therefore \] Geometric Mean \[={{(2\times 6\times 824)}^{\frac{1}{4}}}\] \[={{({{2}^{8}}\times {{3}^{2}})}^{\frac{1}{4}}}={{2}^{2}}\times {{3}^{\frac{1}{2}}}\] \[=4\sqrt{3}=\sqrt{48}\]
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