Question

The following are the ages of 300 patients getting medical treatment in a hospital on a particular day:

Age (in years)	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60	60 – 70
Number of patients	60	42	55	70	53	20

Form: Less than type cumulative frequency distribution.

Answer 1

We observe that the number of patients which take medical treatment in a hospital on a particular day less than 10 is 0. Similarly, less than 20 include the number of patients which take medical treatment from 0 – 10 as well as the number of patients which take medical treatment from 10 – 20.

So, the total number of patients less than 20 is 0 + 60 = 60, we say that the cumulative frequency of the class 10 – 20 is 60. Similarly, for other class.

Less than type
Age (in year)	Number of patients
Less than 10	0
Less than 20	60 + 0 = 60
Less than 30	60 + 42 = 102
Less than 40	102 + 55 = 157
Less than 50	157 + 70 = 227
Less than 60	227 + 53 = 280
Less than 70	280 + 20 = 300