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.
Attachment:- Assignment.rar