Variance Questions

Let $x_1,x_2,\dots ,x_n$ be $n$ observations, and let $\bar{x}$ be their arithmetic mean and ${\sigma }^2$ be their variance.Statement 1: Variance of $2x_1,2x_2,\dots ,2x_n$ is $4{\sigma }^2$.Statement 2: Arithmetic mean of $2x_1,2x_2,\dots ,2x_n$ is $4\bar{x}$.