Question

The height (in cm) of $50$ students in a particular class are given. Find the median.

Height (in cm)	$156$	$155$	$154$	$153$	$152$	$151$	$150$
Number of students	$8$	$4$	$6$	$10$	$12$	$3$	$7$

Answer 1

Height in cm	Number of students	$cf$
156	8	8
155	4	12
154	6	18
153	10	28
152	12	40
151	3	43
150	7	50
Total	50

Here N=50 Then $\frac{N}{2}=\frac{50}{2}=25$
$\text{N=50 is even, hence there will be two observations}\frac{n}{2}and\frac{n}{2}+1i.e,25thand26th$

Now, frequency greater than $25$ is $28$ and height for $28$ is $153$

Hence, median is $153$.