A) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-1
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for statement-1.
C) Statement-1 is true, statement-2 is false.
D) Statement-1 is false, Statement-2 is true
Correct Answer: D
Solution :
\[\overline{x}=\frac{2+4+6+....2n}{n}=n+1\] variance\[({{\sigma }^{2}})=\frac{\sum\limits_{i=1}^{n}{{{({{x}_{i}}-\overline{x})}^{2}}}}{n}=\frac{\sum\limits_{i=1}^{n}{{{(2i-(n+1))}^{2}}}}{n}\] \[=\frac{4\sum\limits_{i=1}^{n}{{{i}^{2}}}+\sum\limits_{i=1}^{n}{{{(n+1)}^{2}}-4(n+1)}\sum\limits_{i=1}^{n}{i}}{n}={{n}^{2}}-1\]You need to login to perform this action.
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