The table below shows the ages of 300 patients receiving medical treatment in a hospital on a specific day. Determine the median age of the patients.

Age (in years)	10-20	20-30	30-40	40-50	50-60	60-70
No. of Patients	60	42	55	70	53	20

We know,

$\mathrm{Median}=\mathrm{l}+\frac{\left(\frac{\mathrm{N}}{2}-\mathrm{cf}\right)}{{\mathrm{f}}_{\mathrm{m}}}\times \mathrm{c}$

Consider the following table, to calculate the median:

$\mathrm{Median}=\mathrm{l}+\frac{\left(\frac{\mathrm{N}}{2}-\mathrm{cf}\right)}{{\mathrm{f}}_{\mathrm{m}}}\times \mathrm{c}$

Here, Class Interval $\mathrm{c}=10$

$\text{N}=\Sigma {\text{f}}_{\text{i}}=300$

$\frac{\text{N}}{2}=150$

$\Rightarrow \text{ Median class }=30-40$

 Frequency of median class, $\mathrm{f}{\text{m}}_{\text{m}}=55$

The lower limit of the median class, $\mathrm{l}=30$

Cumulative frequency of the class before the median class, $\mathrm{cf}=102$

 Median $=30+\frac{\left(\frac{300}{2}-102\right)}{55}\times 10$

 Median $=30+\frac{\left(48\right)}{55}\times 10$

 Median $=38.727\approx 38.73$