Let $x_1,x_2,......,x_n$ be n observations, and let $\overline{x}$ be their arithematic mean and ${\sigma }^2$ be their variance. Statement 1: Variance of $2x_1,2x_2,......,2x_{n}is4{\sigma }^2$ . Statement 2: Arithmetic mean of $2x_1,2x_2,......,2x_{n}is4x$ . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

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