Question

If $\overline{x}$ is the mean of $x_1,x_2\dots ,x_n$ then for $a\ne 0$, the mean of $a{x}_1,a{x}_2\dots ,a{x}_n,\frac{x_1}{a},\frac{x_2}{a},\dots ,\frac{x_n}{a}$ is
(a) $(a+\frac{1}{a})\overline{x}$
(a) $(a+\frac{1}{a})\frac{\overline{x}}{2}$
(c) $(a+\frac{1}{a})\frac{\overline{x}}{n}$
(d) $\frac{(a+\frac{1}{a})\overline{x}}{2n}$

Answer 1

ANSWER:
(b) (a+1/a)/x
Required mean =(ax1+ax2+...+axn)+(x1/a+x2/a+...+xn/a)/2n
=1/2(ax ̄+1/ax) ̄