Question

The marks of $20$ students in a test were as follows:
$5,6,8,9,10,11,11,12,13,13,14,14,15,15,15,16,16,18,19,20$

The median is

• A. $13.5$
• B. $12.5$
• C. $14.5$
• D. $15.5$

Answer 1

The correct option is A $13.5$

Here, $n$ $=$ $20$ which is an even number.
$\therefore$ Median $=\frac{{\left(\frac{n}{2}\right)}^{th}\text{term}+{(\frac{n}{2}+1)}^{th}\text{term}}{2}$
$\therefore$ Median $=\frac{{\left(\frac{20}{2}\right)}^{th}\text{term}+{(\frac{20}{2}+1)}^{th}\text{term}}{2}$
$=\frac{{10}^{th}\text{term}+{11}^{th}\text{term}}{2}$
$=\frac{13+14}{2}=13.5$