JEE Main & Advanced Mathematics Statistics Question Bank Mean

  • question_answer
    The A.M. of n observations is M. If the sum of \[n-4\] observations is a, then the mean of remaining 4 observations is

    A)                 \[\frac{n\,M-a}{4}\]              

    B)                 \[\frac{n\,M+a}{2}\]

    C)                 \[\frac{n\,M-A}{2}\]              

    D)                 n M + a

    Correct Answer: A

    Solution :

               Let the mean of the remaining 4 observations be \[{{\bar{x}}_{1}}\].                 Then, \[M=\frac{a+4{{{\bar{x}}}_{1}}}{(n-4)+4}\]Þ \[\overline{{{x}_{1}}}=\frac{nM-a}{4}\].


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