The following data shows the ages of the top 50 wealthiest people in the world which are listed in Forbes Magazine.

49	57	38	73	81	74	59	76	65	69
54	56	69	68	78	65	85	49	69	61
48	81	68	37	43	78	82	43	64	67
52	56	81	77	79	85	40	85	59	80
60	71	57	61	69	61	83	90	87	74

a)

Construct a frequency distribution from the above data.

(5)

b)

Determine the following:

1. lower boundary and upper boundary
2. mid-point of the all class
3. range of the data

(5)

c)

Represent the data by constructing the cumulative frequency polygon.

(4)

d)

Based on your cumulative frequency polygon, estimate the first quartile, median and third quartile.

(6)

(Total: 20 marks)