The S.D. of a variate $x$ is $\sigma$. The S.D. of the variate $\frac{a x+b}{c}$ where $a, b, c$ are constants, is
(A) $\left(\frac{a}{c}\right) \sigma$
(B) $\left|\frac{a}{c}\right| \sigma_{\mid}$
(C) $\left(\frac{a^{2}}{c^{2}}\right) \sigma$
(D) None of these