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BCECE Engineering BCECE Engineering Solved Paper-2015

  • question_answer
    If the SD of a set of observations is 8 and each observation is divided by -2, then the SD of the new set of observations will be

    A) -4                                           

    B) -8

    C)  8                                            

    D)  4

    Correct Answer: D

    Solution :

    We know that, if X and Y tow variables such that \[Y=\frac{X}{a},a\ne 0\]                 Then,    \[{{\sigma }_{Y}}=\frac{1}{|a|}{{\sigma }_{X}}\]                 \[\therefore \]SD of the new observation \[=\frac{8}{|-2|}=4\]


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