Statement-I : If the mean and variance of 20 observations $x_1,x_2,-----x_{20}$ be 15, 9 respectively.  For $\alpha \in R$ if the mean of ${(x_1+\alpha )}^2,{(x_2+\alpha )}^2,-----{(x_{20}+\alpha )}^2$ is 178 then the square of maximum value of $\alpha$ is 6
Statement-II : Mean $\mu =\frac{{\displaystyle \sum {x_i}^2}}{n}-{\left(\frac{{\displaystyle \sum x_i}}{n}\right)}^2$

STATEMENT–1 is False, STATEMENT–2 is False

STATEMENT–1 is True, STATEMENT–2 is True; STATEMENT–2 is NOT a Correct explanation for STATEMENT–1

STATEMENT–1 is True, STATEMENT–2 is True; STATEMENT–2 is a Correct explanation for STATEMENT–1

STATEMENT–1 is True, STATEMENT–2 is False