Question

2. In a country called Karpee's Nation, Sixty (60) persons were asked about their ages in completed years and they responded as follow:

34 34 40 42 40 42 29 30 28 44 25 37 37 42 29 33   

34 29 43 41 25 40 37 33 32 37 40 51 28 27 31 64   

38 40 30 41 51 30 48 24 28 33 35 40 31 29 35 46

27 34 28 29 35 30 29 40 32 39 28 41

a) Construct a frequency distribution b) Calculate the midpoints c) Compute the relative

frequency and d) Compute cumulative frequencies.

4. For the grouped data in question No. 2, solve for the Arithmetic mean, the Mode and Median respectively.

6. Also for the grouped data in question No. 2, draw a histogram and a frequency polygon.

Answer 1

Solution:-

2 a)

Class interval	Frequency	x	Relative frequency	Cumulative frequency	F*X
20 to 30	16	25	0.2667	16	400
30 to 40	24	35	0.40	40	840
40 to 50	17	45	0.2833	57	765
50 to 60	2	55	0.0333	59	110
60 to 70	1	65	0.0167	60	65
Sum	60		1.0		2180

4)

6)