1. The table shows socioeconomic characteristics of parolees who report to one parole officer. Calculate the most appropriate measure of central tendency for each of the variables: Age, Sex, Education, and Offense.
Initials Age Sex Education Offense
J.D. 34 Male High school Homicide
G.T 18 Male No high school Drugs
T.J. 25 Male High school Drugs
R.T. 43 Female Some college Drugs
P.M. 22 Female Some college Drugs
J.D. 24 Male No high school Homicide
H.W. 26 Female No high school Burglary
L.B. 28 Female College Drugs
H.K. 55 Male College Burglary
R.T. 23 Male No high school Burglary

 

  1. The number of homicides in a U.S. city during a 5-month period are: 10, 18, 10, 14, 33
  2. Find the mode.
  3. Find the median.
  4. Find the mean.
  5. Which measure provides the most accurate measure of central tendency for the number of homicides? (Write this answer in the Word document.)
  6. The number of prior arrests for a group of individuals at their parole hearings are as follows: 1, 3, 3, 2, 1, 8, 5. Compute the following: (a) range, (b) variance, and (c) standard deviation.
  7. In order to examine whether precincts need more sworn officers, you have collected data on the total number of hours of overtime per week worked by police officers in two precincts for a period of 8 weeks. The table shows the data.
Precinct A Precinct B
25 15
10 12
44 11
9 10
8 13
12 12
11 13
44 15

Considering both concepts of central tendency and variability find the following:

  1. Which precinct tended to work more overtime?
  2. Which precinct tended to be more consistent in the number of hours of overtime work?

Please explain the reasoning behind your answers and how you arrived at your answer. Please include your calculations in the Excel worksheet.

 

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