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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 26E

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QUESTION:

Problem 26E

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 earthquakes registered 4.0 to 4.9? What percentage of earthquakes registered 4.9 or less?

Problem

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

Earthquakes The following data represent the number of earthquakes worldwide in 2010 with magnitudes less than 9.0 (as of October 15, 2010).

Magnitude

Number

0-0.9

22

1.0-1.9

22

2.0-2.9

3201

3.0-3.9

3332

4.0-4.9

7276

5.0-5.9

1430

6.0-6.9

130

7.0-7.9

18

8.0-8.9

1

Questions & Answers

QUESTION:

Problem 26E

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 earthquakes registered 4.0 to 4.9? What percentage of earthquakes registered 4.9 or less?

Problem

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

Earthquakes The following data represent the number of earthquakes worldwide in 2010 with magnitudes less than 9.0 (as of October 15, 2010).

Magnitude

Number

0-0.9

22

1.0-1.9

22

2.0-2.9

3201

3.0-3.9

3332

4.0-4.9

7276

5.0-5.9

1430

6.0-6.9

130

7.0-7.9

18

8.0-8.9

1

ANSWER:

Solution

Step 1 of 3

a) We have to construct a relative frequency distribution

Relative frequency=

Magnitude

Number

Relative Frequency

0-0.9

22

0.0014

1.0-1.9

22

0.0014

2.0-2.9

3201

0.2074

3.0-3.9

3332

0.2159

4.0-4.9

7276

0.4715

5.0-5.9

1430

0.0927

6.0-6.9

130

0.0084

7.0-7.9

18

0.0012

8.0-8.9

1

6E-05

Total

15432

1

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