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
greater than l
less than l
equal to 1
none of these
We have,
x1+x2+x3+…+xnn=1⇒x1+x2+x3+…+xn=n
∴ Required arithmetic mean =x1k+x2k+….+xnkn
=1kx1+x2+…+xnn=1k