Question

The ages of some vice presidents in the United States at the time of their death are listed below.

50	62	65	71	79
51	64	67	76	86
54	65	68	77	87

1. Construct a group frequency distribution using 4 classes.

class limits, class boundaries, frequency and relative frequency

2. Construct a cumulative frequency distribution with the ages of some vice presidents at the time of their death.

Class boundaries, cumulative frequency and cumulative relative frequency

Answer 1

There is a total of 15 data points. So, total frequency = 15

Answer 1:
The group frequency distribution is given below –

Serial No.	Classes	Class Boundaries	Frequency	Relative Frequency
1	50-59	49.5-59.5	3	3/15 = 0.2
2	60-69	59.5-69.5	6	6/15 = 0.4
3	70-79	69.5-79.5	4	4/15 = 0.27
4	80-89	79.5-89.5	2	2/15 = 0.13
	Total		15	1.00

Answer 2:
The Cumulative Frequency Distribution of the ages of some Vice – Presidents at the time of their death is given below –

Serial No.	Classes	Class Boundaries	Frequency	Cumulative Frequency	Relative Frequency	Cumulative Relative Frequency
1	50-59	49.5-59.5	3	3	3/15 = 0.2	0.2
2	60-69	59.5-69.5	6	9	6/15 = 0.4	0.6
3	70-79	69.5-79.5	4	13	4/15 = 0.27	0.87
4	80-89	79.5-89.5	2	15	2/15 = 0.13	1.00
	Total		15		1.00