Question

What percent of undergraduate enrollment in coed colleges and universities in the United States is male? A random sample of 50 such institutions give the following data. Percent Males Enrolled in Coed Universities and Colleges 44 41 41 41 38 50 48 31 52 28 50 42 71 37 43 38 53 51 52 50 47 46 49 50 39 38 58 64 40 54 32 46 48 34 54 48 40 46 42 41 46 42 41 46 54 38 44 40 49 38 For this problem, use five classes. (a) Find the class width. 8 (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Round your relative frequencies to two decimal places.)

Answer 1

(a)

Given:

Number of data points = 50

Number of classes = 5

the class width = 37 - 28 = 9

(b)

A frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies is made as follows:

Class Limits	Class Boundaries	Mid Points	Frequencies	Relative Frequencies	Cumulative Frequencies
28 - 37	27.5 - 37.5	32.5	5	5/50=0.10	5
38 - 47	37.5 - 47.5	42.5	26	26/50=0.52	31
48 - 57	47.5 - 57.5	52.5	16	16/50=0.32	47
58 - 67	57.5 - 67.5	62.5	2	2/50=0.04	49
68 - 77	67.5 - 77.5	72.5	1	1/50=0.02	50