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. 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

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 arithmetic mean is the most commonly utilized measure of central tendency for quantitative variables. There are good reasons for this, as well as some limitations that should caution against using it in all scenarios. For this question, please demonstrate your understanding of the properties of the mean by addressing the following: 1) Describe the benefits of using the mean over other measures of central tendency (i.e., the median and the mode) for a quantitative variable. 2) 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