Question

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

Answer 1

We prepare the cumulative frequency table, as shown below:

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

Thus, the median class is 45 – 60. 

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

Now,

Hence, the median age is 46.5 years.