Calculate the mean number of motor vehicle theft rates

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Reference no: EM131656981

Statistics for CJ Research Assignment Chapter 3 - Measure of Central Tendency

Q1. Below are the salaries of chiefs in various police departments in Texas in 2013.

Agency 

Police Chief Salary

Austin PD 

$198,819

San Antonio PD 

$187,174

Brownsville PD

$111,205

Laredo PD

$145,018

Waco PD

$114,202

Lubbock PD

$148,691

Richardson PD

$160,608

Grand Prairie PD

$159,000

Plano PD

$158,641

Mesquite

$155,355

Amarillo

$150,588

What is the median salary and what is the mean salary for this sample?

Q2. The following table shows the rate of motor vehicle theft in 2006 (Bureau of Justice Statistics 2007):

State

Rate

Alabama

322.7

Alaska

377.4

Arizona

889.5

Arkansas

265.5

California

665.7

Colorado

437.5

Connecticut

296.4

Delaware

329.9

District of Columbia

1258.9

Calculate the mean number of motor vehicle theft rates. Is the mean a good measure of central tendency for these data?  Why or why not?  If you think it is not a good measure, what measure of central tendency would you use, and what is its value?

Q3. For the following set of data, calculate the mode, median, and mean: {13, 5, 4, 9, 7, 14, 4}. In addition, calculate the deviation of each score from the mean and ∑(X - X-).

Q4. Gaarder and Belknap (2002) examined a sample of 22 girls who had been sentenced as adults. The following table shows the age of each girl at the time of her arrest:

Name

Age at time of arrest

Sandy

16

Tracy

17

Hana

17

Carrie

17

Tammy

15

Maria

17

Deidre

16

Angela

17

Jackie

16

Crystal

17

Shanda

17

Lisa

15

Amanda

17

Corrine

17

Richelle

15

Jamie

16

Toni

16

Kendra

17

Rebecca

17

Elizabeth

16

Erin

17

Alice

17

Create a simple frequency distribution for these data.  Using the simple frequency distribution, find the mode, and calculate the mean.

Q5. A team of researchers studied aggression in convicts on a 1 to 5 scale where 1 is the least and 5 is the most. Calculate the mean from the frequency table below:

Aggression Score

f

5

4

4

7

3

20

2

5

1

4


N =40

Q6. Describe the characteristics of the positively skewed distribution and negatively skewed distribution. Give two examples for each.

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Reference no: EM131656981

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