Question

Following are the ages of 360 patients getting medical treatment in a nursing home on a day.

Ages (in years)	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60	60 – 70
No. of patients	90	50	60	80	50	30

Answer 1

Given: Ages (in years): 10 – 20, 20 – 30, 30 – 40, 40 – 50, 50 – 60, 60 – 70

Number of patients: 90, 50, 60, 80, 50, 30

Step-wise calculation:

1. Cumulative after 10 – 20

= 90

2. Cumulative after 20 – 30

= 90 + 50

= 140

3. Cumulative after 30 – 40

= 140 + 60

= 200

4. Cumulative after 40 – 50

= 200 + 80

= 280

5. Cumulative after 50 – 60

= 280 + 50

= 330

6. Cumulative after 60 – 70

= 330 + 30

= 360

Cumulative frequency distribution table (less than or equal cumulative):

Age (in years)	No. of patients	Cumulative frequency
10 – 20	90	90
20 – 30	50	140
30 – 40	60	200
40 – 50	80	280
50 – 60	50	330
60 – 70	30	360

Checks: Total = 360 patients.