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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Violent Crimes Use the violent crime rate data from answer

Chapter 2, Problem 43E

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QUESTION:

Problem 43E

Violent Crimes Use the violent crime rate data from Problem to answer each of the following:

Problem

Violent Crimes Violent crimes include murder, forcible rape, robbery, and aggravated assault. The following data represent the violent-crime rate (crimes per 100,000 population) by state plus the District of Columbia in 2009.

449.8

1345.9

400.1

281.3

384.7

670.8

296.5

633.0

612.5

258.7

491.8

404.3

185.6

257.0

408.3

426.1

620.0

253.6

200.7

667.7

228.2

517.7

274.8

119.8

281.6

332.1

490.9

 

472.0

228.4

589.9

702.2

501.1

212.7

 

337.8

497.2

457.1

159.6

254.7

131.4

 

298.7

333.2

497.0

311.5

380.5

226.8

 

636.6

279.2

243.9

619.0

252.6

331.0

 

Source: Federal Bureau of Investigation

(a) If thirteen classes are to be formed, choose an appropriatelower class limit for the first class and a class width.

(b) Construct a frequency distribution.

(c) Construct a relative frequency distribution.

(d) Construct a frequency histogram of the data.

(e) Construct a relative frequency histogram of the data.

(f) Describe the shape of the distribution.

Questions & Answers

QUESTION:

Problem 43E

Violent Crimes Use the violent crime rate data from Problem to answer each of the following:

Problem

Violent Crimes Violent crimes include murder, forcible rape, robbery, and aggravated assault. The following data represent the violent-crime rate (crimes per 100,000 population) by state plus the District of Columbia in 2009.

449.8

1345.9

400.1

281.3

384.7

670.8

296.5

633.0

612.5

258.7

491.8

404.3

185.6

257.0

408.3

426.1

620.0

253.6

200.7

667.7

228.2

517.7

274.8

119.8

281.6

332.1

490.9

 

472.0

228.4

589.9

702.2

501.1

212.7

 

337.8

497.2

457.1

159.6

254.7

131.4

 

298.7

333.2

497.0

311.5

380.5

226.8

 

636.6

279.2

243.9

619.0

252.6

331.0

 

Source: Federal Bureau of Investigation

(a) If thirteen classes are to be formed, choose an appropriatelower class limit for the first class and a class width.

(b) Construct a frequency distribution.

(c) Construct a relative frequency distribution.

(d) Construct a frequency histogram of the data.

(e) Construct a relative frequency histogram of the data.

(f) Describe the shape of the distribution.

ANSWER:

Solution:

Step 1 of 5:

We have the data of crime rate by state plus the District of Columbia in 2009.

449.8

1345.9

400.1

281.3

384.7

670.8

296.5

633.0

612.5

258.7

491.8

404.3

185.6

257.0

408.3

426.1

620.0

253.6

200.7

667.7

228.2

517.7

274.8

119.8

281.6

332.1

490.9

 

472.0

228.4

589.9

702.2

501.1

212.7

 

337.8

497.2

457.1

159.6

254.7

131.4

 

298.7

333.2

497.0

311.5

380.5

226.8

 

636.6

279.2

243.9

619.0

252.6

331.0

 

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