First slide
Introduction to statistics
Question

If the arithmetic mean of the observations x1,x2,x3,,xn is 1, then the arithmetic mean of x1k,x2k,x3k,,xnk (k>0), is

Easy
Solution

We have,

x1+x2+x3++xnn=1x1+x2+x3++xn=n

  Required arithmetic mean =x1k+x2k+.+xnkn

                                                  =1kx1+x2++xnn=1k

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