BCECE Engineering BCECE Engineering Solved Paper-2009

  • question_answer
    If the standard deviation of a variable X is \[\sigma ,\]then the standard deviation of \[\sigma ,\](a, b, c are constants) is

    A)  \[\frac{a}{c}\sigma \]                   

    B)  \[\left| \frac{a}{c} \right|\sigma \]        

    C)                         \[\left| \frac{c}{a} \right|\sigma \]        

    D)         \[\frac{c}{a}\sigma \]

    Correct Answer: B

    Solution :

    \[\sigma \left( \frac{aX+b}{c} \right)=\sigma \left( \frac{aX}{c} \right)+\sigma \left( \frac{b}{c} \right)\] \[=\left| \frac{a}{c} \right|\sigma (X)+0\] \[=\left| \frac{a}{c} \right|\sigma \]


You need to login to perform this action.
You will be redirected in 3 sec spinner