If the variance of the observations $x_1,x_2,\dots \dots ,x_n$ is ${\sigma }^2$, then the variance of $\alpha x_1,\alpha x_2,\dots \dots ,\alpha x_n,\alpha \ne 0$ is

• A

  ${\sigma }^2$
• B

  $\alpha {\sigma }^2$
• Correct answer
  C

  ${\alpha }^2{\sigma }^2$
• D

  $\frac{{\sigma }^2}{{\alpha }^2}$

Hence, the correct answer is option: 'C'.