The average of n numbers  x1,x2,…,xn  is M. If  xn is replaced by  x’ , then the new average is 

The average of n numbers  x1,x2,,xn  is M. If  xn is replaced by  x' , then the new average is 

  1. A

    Mxn+xn

  2. B

    (n1)M+xn

  3. C

    nMxn+xn

  4. D

    Mxn+x

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    Solution:

     We have, 

     M=x1+x2++xnn 

        x1+x2++xn1+xn=nM    x1+x2++xn1=nMxn

    Let M' be the average of  x1,x2,,xn1,x                 ...(i)

    M=x1+x2++xn1+xn M=nMxn+xn                                      [Using (i)] 

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