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1. The following representsthe number of citizen calls for service to the police in a random sample of census blocks over a period of several

1. The following representsthe number of citizen calls for service to the police in a random sample of census blocks over a period of several years (N = 11). For this question, you must calculate the mean and several measures of dispersion. Specifically, calculate the mean, the range, the variance, and the standard deviation.

Note: For your own calculations, it will be helpful to arrange the numbers in a table and calculate the mean deviation and the squared mean deviation.

Important: Please use two decimal spaces (i.e., 0.00) for answers.

Calls for Service to the Police (N = 11)

Block ID

# Calls for Service

Block 1

72

Block 2

44

Block 3

7

Block 4

39

Block 5

79

Block 6

51

Block 7

120

Block 8

4

Block 9

9

Block 10

581

Block 11

16

Mean = ; Range = ; Variance = ; Standard Deviation =

2) a. Describe the benefits of using the mean over other measures of central tendency (i.e., the median and the mode) for a quantitative variable. b) Describe the circumstances in which the mean will be of limited utility (i.e., variables with particular distributions), and elaborate on specifically why the mean will produce misleading conclusions for these circumstances

3. A descriptive research project is attempting to examine statewide police response time (i.e., the amount of time between a call for service and the police arriving on scene) using a random sample of calls for service from multiple cities. Using a sample 423 calls for service (N), the mean response time (in minutes) is 27.52, and the standard deviation is 16.75. Using this information, please calculate the 95% confidence interval for the sample mean of 27.52 minutes.

Important: Use two decimal spaces (i.e., 0.00) for all calculations.

95% CI =

4. The following table presents data from a sample of defendants in criminal court. The variables considered are age, offense type, mode of disposition, and sentence length(in months). For each variable, 1) identify and then 2) compute the most appropriate measure of central tendency.

Important: Use two decimal spaces (i.e., 0.00) for numeric answers.

Sample of Defendants in Criminal Court (N = 9)

Defendant ID

Age

Offense Type

Mode of Disposition

Sentence Length (Months)

1

29

Drug

Plea

12

2

39

Sex

Plea

48

3

23

Violent

Plea

48

4

39

Sex

Trial

120

5

20

Violent

Plea

12

6

26

Drug

Plea

3

7

33

Property

Trial

21

8

31

Property

Plea

6

9

21

Drug

Plea

12

Appropriate Measure of Central Tendency

Value

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