Question

Consider the following data:

25	24	18	20
21	18	16	20
23	17	15	13
19	23	24	20
16	26	21	24
15	22	16	12
20	23	19	26
20	25	21	19
21	25	23	26
21	19	20	14

(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). If required, round your relative frequency answers to three decimal places and percent frequency answers to one decimal place.

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

Answer 1

(a)

Class	Frequency
12 - 14	3
15 - 17	6
18 -20	12
21 - 23	10
24 - 26	9
Total	40

Note: frequency of class 12 -14 means how many numbers in the observation are lies in the class 12 - 14.

(b)

Class	Frequency	Relative frequency	Percent frequency
12 to 14	3	0.075	7.5%
15 to 17	6	0.15	15%
18 to 20	12	0.3	30%
21 to 23	10	0.25	25%
24 to 26	9	0.225	22.5%
Total	40

Relative frequency =( Frequency / total of frequency)

Percent frequency = Relative frequency * 100