The mean of set of $n$ numbers when each in divided by 5 is $\frac{X}{5}$, then mean of the $n$ number is
The mean of set of $n$ numbers when each in divided by 5 is $\frac{X}{5}$, then mean of the $n$ number is
$5 X$
$X$
$25 X$
$\frac{x}{25}$
Solution
Mean of n number when each is divided by 5 is $\frac{x}{5}$.
Let $x_1, x_2, x_3, \ldots, x_n$ are the number.
$
\therefore \text { Given mean }=\frac{\text { Sum of observation }}{\text { Total number of observation }}
$
$
\begin{aligned}
\frac{X}{5} & =\frac{\frac{x}{5}+\frac{x_2}{5}+\frac{x_3}{5}+\ldots+\frac{x_n}{5}}{n} \\
\frac{X}{5} & =\frac{1}{5} \frac{\left(x_1+x_2+x_3+. .+x_n\right)}{n} \\
X & =\frac{x_1+x_2+x_3+\ldots+x_n}{n}
\end{aligned}
$
$\therefore$ Mean of $x_1, x_2, x_3, \ldots, x_n$ is $X$