The $S.D.$ of the following data is nearly

$x_i$	$140$	$145$	$150$	$155$	$160$	$165$	$170$	$175$
$f_i$	$4$	$6$	$15$	$30$	$36$	$24$	$8$	$2$

Let $\overline{x}$, $M$ and ${\sigma }^2$ be respectively the mean, mode and variance of $n$ observations $x_1, x_2,...., x_n$ and $d_i=-x_i-a, i=1, 2,...., n,$ where $a$ is any number.

Statement I: Variance of $d_1, d_2,..., d_n$ is ${\sigma }^2$.

Statement II: Mean and mode of $d_1, d_2,...., d_n$ are $-\overline{x}-a$ and $-M-a$, respectively.