Question

In a hospital, the ages of diabetic patients were recorded as follows. Find the median age.

Age (in years)	0 – 15	15 – 30	30 – 45	45 – 60	60 - 75
No. of patients	5	20	40	50	25

Answer 1

We prepare the cumulative frequency table, as shown below:

Now, N = 140 ⇒ \(\frac{N}{2}\)= 70.

The cumulative frequency just greater than 70 is 115 and the corresponding class is 45 – 60. 

Thus, the median class is 45 – 60. 

∴ I = 45, h = 15, f = 50, N = 140 and cf = 65. Now,

= 45 + 1.5 

= 46.5

Hence, the median age is 46.5 years.