Violent Crimes Violent crimes include murder, forcible

Chapter 2, Problem 35E

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QUESTION:

Problem 35E

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

 

(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 35E

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

 

(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 3:

The data about the violent-crime rate by state plus the District of columbia is given.

We have to find the following.

  1. We have to find the lower class limit the class width, if thirteen classes has to be formed.
  2. The frequency distribution of data.
  3. The relative frequency distribution of the data.
  4. The frequency histogram of the data.
  5. The relative frequency histogram of the data.
  6. We have to determine the shape of the distribution.

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