Question

The number of sheets available at the shop on each day for $5$ consecutive days are recorded as follows:


If the mean of this data is $25.6$, then the median of this data is .

Answer 1

The mean of the data is calculated as,

$\begin{array}{cc}\text{Mean}& =\frac{\text{Sum of all data points}}{\text{Total number of data points}}\\ 25.6& =\frac{27+x+24+26+28}{5}\\ 25.6\times 5& =105+x\\ 128& =x+105\\ x& =128-105\\ x& =23\end{array}$

Substitute the value of $x$ in the given data set.


Arrange this data set in ascending order to find the median.


Since, the middle value is $26$, therefore the median of the given data set is $26$.