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