A) \[\overline{X}+n\]
B) \[\overline{X}+\frac{n}{2}\]
C) \[\overline{X}+\frac{n+1}{2}\]
D) None of these
Correct Answer: C
Solution :
(c) \[\overline{X}=\frac{{{x}_{1}}+{{x}_{2}}+{{x}_{3}}+...+{{x}_{n}}}{n}\left( given \right)\] According to question \[\text{New}\,\text{Mean}=\frac{({{x}_{1}}+1)+({{x}_{2n}}+2)+({{x}_{3}}+3)+...+({{x}_{n}}+n)}{n}\] \[=\frac{{{x}_{1}}+{{x}_{2}}+.....+{{x}_{n}}}{n}+\frac{1+2+3+...+n}{n}=\overline{x}+\left( \frac{n+1}{n} \right)\]
You need to login to perform this action.
You will be redirected in
3 sec
