Let us find the median of heights of students from the table below.

To find median of heights of students, we need to make a table calculating cumulative frequency.

For median:

We have, total frequency, N = 100

N/2 = 100/2 = 50

Observe, cf = 57 is just greater than 50.

Thus, median class = 150 – 155

Median is given by

Where,

L = Lower class limit of median class = 150

N/2 = 50

cf = cumulative frequency of the class preceding median class = 35

f = frequency of the median class = 22

h = class interval of the median class = 5

Substituting these values in the formula of median, we get

⇒

⇒ Median = 150 + 3.409

⇒ Median = 153.409

Thus, the median of heights of students is 153.409 cm.