Question

Evangeline made a frequency table of the scores of her students in a test. Find the median score.

Score	$12$	$24$	$36$	$48$
Frequency	$2$	$3$	$4$	$1$

• A. $12$
• B. $24$
• C. $30$
• D. $36$

Answer 1

The correct option is C $30$

Score	Frequency	C.f
$12$	$2$	$2$
$24$	$3$	$5$
$36$	$4$	$9$
$48$	$1$	$10$

Sum of frequency $=2+3+4+1=10$

Sum of frequency is even, the Median is at the average of $\left(\frac{n}{2}\right)\&(\frac{n}{2}+1)position$

$\left(\frac{n}{2}\right)=\frac{10}{2}=5\frac{n}{2}+1=\frac{10}{2}+1=6$

Average score of $5$th & $6$th $=\frac{24+36}{2}$

$=>\frac{60}{2}=30$