Let \( \mathrm{xl}, \mathrm{x}_{2}, \ldots \ldots . ., \mathrm{xn} \) be nobservations, and let \( \mathrm{X} \) be their arithmetic mean and \( \mathrm{cr}^{2} \) be their variance.
\( \mathrm{P} \)
Statement 1: Variance of \( 2 \mathrm{xl}^{\prime} 2 \mathrm{x}_{2}, \ldots \ldots, 2 X \mathrm{Xn} \) is \( 4 \mathrm{cr}^{2} \).
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Statement 2: Arithmetic mean of \( 2 x_{l}, 2 x_{2}, \cdots, 2 x_{n} \) is \( 4 X \).
(A) Statement-I is true, statement-2 is true and statement-2 is correct explanation for statement-I.
(B) Statement-I is true, statement-2 is true and statement-2 is NOT the correct explanation for statement- \( \mathrm{I} \).
(C) Statement-I is true, statement-2 is false.
(D) Statement-I is false, statement-2 is true.
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