JEE Math Practice Question

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

1. A.Statement 1 is false, statement 2 is true
2. B.Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
3. C.Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
4. D.Statement 1 is true, statement 2 is false