question_answer

If\[x\]is the mean of\[{{x}_{1}},{{x}_{2}},......,{{x}_{n}},\]then for\[a\ne 0,\] the mean of \[a{{x}_{1}},a{{x}_{2}},....,a{{x}_{n}},\]\[\frac{{{x}_{1}}}{a},\frac{{{x}_{2}}}{a},.....,\frac{{{x}_{n}}}{a}\]is._____.

A) \[\left( a+\frac{1}{a} \right)\overline{X}\]            

B) \[\left( a+\frac{1}{a} \right)\frac{\overline{X}}{2}\]         

C)         \[\left( a+\frac{1}{a} \right)\frac{\overline{X}}{n}\]        

D)         \[\frac{\left( a+\frac{1}{a} \right)\bar{X}}{2n}\] 

Correct Answer: B

Solution :

Now,