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 | |||||||
47 | 33 | 45 | 40 | 36 | 37 | 46 | 41 |
40 | 42 | 31 | 73 | 50 | 47 | 40 | 49 |
44 | 41 | 49 | 30 | 53 | 44 | 53 | 34 |
49 | 52 | 60 | 51 | 36 | 38 | 27 | 35 |
44 | 35 | 46 | 35 | 33 | 52 | 43 | 31 |
22 | 60 | 34 | 54 | 28 | 33 | 43 | 53 |
44 | 40 |
For this problem, use five classes.(a) Find the class
width.
(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.)
Class Limits | Class Boundaries | Midpoint | Frequency | Relative Frequency |
Cumulative Frequency |
(f) Draw an ogive. (Graph each point and the closed line segments connecting the points to create your graph.)
Answer:
Given data,
47,33,45,40,36,37,46,41,40,42,31,73,50,47,40,49,44,41,49,30,53,44,53,34,49,52,60,51,36,38,27,35,44,35,46,35,33,52,43,31,22,60,34,54,28,33,43,53,44,40
Maximum Value = 73
Minimum Value = 22
No. of classes n = 5
Class Width = (max. value - min. value) / n = (73-22) / 5 = 10.2 = 11
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