Question

The time taken by a group of people to run across the street is given below. Find the median.

Time(min)	$10$	$20$	$25$	$30$	$45$
People	$1$	$2$	$5$	$6$	$7$

• A. $10$ min
• B. $20$ min
• C. $30$ min
• D. $40$ min

Answer 1

The correct option is C $30$ min

Time(min)	People(f)	Cumulative frequency(cf)
$10$	$1$	$1$
$20$	$2$	$1+2=3$
$25$	$5$	$3+5=8$
$30$	$6$	$8+6=14$
$45$	$7$	$14+7=21$
	$n=\Sigma f=21$ $\frac{n}{2}=\frac{21}{2}=10.5$

$\frac{n}{2}=\frac{21}{2}=10.5$
Therefore, the corresponding value of time $10.5$ is $30$min.