Statistics

Let x₁, x₂,........., x_n be n observations, and let $\overline x$ be their arithematic mean and ${\sigma ^2}$ be their variance. Statement 1 : Variance of 2x₁, 2x₂,......., 2x_n is 4${\sigma ^2}$. Statement 2 : : Arithmetic mean of 2x₁, 2x₂,......, 2x_n is 4$\overline x$.