question_answer

If the variance of observations \[{{x}_{1}},\,{{x}_{2}},\,......{{x}_{n}}\] is \[{{\sigma }^{2}}\], then the variance of \[a{{x}_{1}},\,a{{x}_{2}}.......,\,a{{x}_{n}}\], a ¹ 0 is

A)                 \[{{\sigma }^{2}}\]

B)                 \[a\,{{\sigma }^{2}}\]

C)                 \[{{a}^{2}}{{\sigma }^{2}}\]  

D)                 \[\frac{{{\sigma }^{2}}}{{{a}^{2}}}\]