Question

Consider the following data.

14	21	23	20	16
19	22	26	15	16
23	25	24	20	15
20	19	20	21	13
17	17	18	23	26
21	22	15	20	18
25	24	15	23	25
19	21	24	21	19

(a)

Develop a frequency distribution using classes of 12–14, 15–17, 18–20, 21–23, and 24–26.

Class	Frequency
12–14
15–17
18–20
21–23
24–26
Total

(b)

Develop a relative frequency distribution and a percent frequency distribution using the classes in part (a).

Class	Relative Frequency	Percent Frequency
12–14
15–17
18–20
21–23
24–26
Total

Answer 1

a) Frequency distribution as follows:

Class	Frequency
12 - 14	2
15 - 17	8
18 - 20	11
21 - 23	11
24 - 26	8
Total	40

b) Relative Frequency = Frequency / Total

Percent Frequency = Relative Frequency × 100%

relative frequency distribution and a percent frequency distribution as follows,

Class	Relative Frequency	Percent Frequency
12 - 14	0.05	5%
15 - 17	0.2	20%
18 - 20	0.275	27.5%
21 - 23	0.275	27.5%
24 - 26	0.2	20%
Total	1	100%