A) \[3\bar{x}+2\]
B) \[2\bar{x}+3\]
C) \[\bar{x}+3\]
D) \[2\bar{x}\]
Correct Answer: B
Solution :
[b] Required mean \[=\frac{1}{n}\sum\limits_{i=1}^{n}{(2{{x}_{i}}+3)}\] \[=\frac{2}{n}\left( \sum\limits_{i=1}^{n}{{{x}_{i}}} \right)+\frac{3n}{n}=2\left\{ \frac{1}{n}\left( \sum\limits_{i=1}^{n}{{{x}_{i}}} \right) \right\}+3\] \[=2\bar{x}+3\]
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