A) \[\bar{X}\]
B) \[\bar{X}+3\]
C) \[3\bar{X}\]
D) \[\frac{{\bar{X}}}{3}\]
Correct Answer: D
Solution :
[d] Let \[{{x}_{1}},{{x}_{2}},....,{{x}_{n}}\]be n numbers. Then \[\bar{X}=\frac{1}{n}\sum\limits_{t=1}^{n}{{{x}_{1}}.}\] If each number is divided by 3, then the new mean \[\bar{Y}\] is given by \[\bar{Y}=\frac{1}{n}\sum\limits_{i=1}^{n}{\left( \frac{{{x}_{i}}}{3} \right)=\frac{1}{3}\left( \frac{1}{n}\sum\limits_{i=1}^{n}{{{x}_{i}}} \right)=\frac{{\bar{X}}}{3}}\]
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