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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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In Problem, construct (a) a relative frequency

Chapter 2, Problem 28E

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QUESTION:

Problem 28E

In Problem, construct (a) a relative frequency distribution, a frequency histogram, and (c) a relative frequency histogram for the given data. Then answer the questions that follow.

Using the data in Problem, what percentage of public community colleges in Illinois enrolled between 5000 and 9999 students? What percentage of public community colleges in Illinois enrolled 15,000 or more students?

Problem

Find (a) the number of classes, (b) the class limits, and (c) the class width.

Community College Enrollments The following data represent the fall 2009 student headcount enrollments for all public community colleges in the state of Illinois.

Number of Students Enrolled

Number of Community Colleges

0-4,999

17

5,000-9,999

18

10,000-14,999

7

15,000-19,999

5

20,000-24,999

0

25,000-29,999

1

Questions & Answers

QUESTION:

Problem 28E

In Problem, construct (a) a relative frequency distribution, a frequency histogram, and (c) a relative frequency histogram for the given data. Then answer the questions that follow.

Using the data in Problem, what percentage of public community colleges in Illinois enrolled between 5000 and 9999 students? What percentage of public community colleges in Illinois enrolled 15,000 or more students?

Problem

Find (a) the number of classes, (b) the class limits, and (c) the class width.

Community College Enrollments The following data represent the fall 2009 student headcount enrollments for all public community colleges in the state of Illinois.

Number of Students Enrolled

Number of Community Colleges

0-4,999

17

5,000-9,999

18

10,000-14,999

7

15,000-19,999

5

20,000-24,999

0

25,000-29,999

1

ANSWER:

Solution

Step 1 of 3

a) We have to construct a relative frequency distribution

Relative frequency=

Number of Students Enrolled

Number of Community Colleges

Relative frequency

0-4,999

17

0.354167

5,000-9,999

18

0.375

10,000-14,999

7

0.145833

15,000-19,999

5

0.104167

20,000-24,999

0

0

25,000-29,999

1

0.020833

Total

48

1

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