Question

The following observations have been arranged in ascending order. If the median of the data is $78$ find the value of $x$.
$44,47,63,65,x+13,87,93,99,110.$

• A. $65$
• B. $78$
• C. $67$
• D. $77$

Answer 1

The correct option is A $65$

The series in ascending order is: $44,47,63,65,x+13,87,93,99,110.$
The series has $9$ observations. hence, the middle observation will be the median of the series.
Here, $x+13$ is the middle observation
Thus, $x+13=78$
$x=65$