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QUESTION
Be sure to answer all parts of the question. Don’t forget to refer to your textbook and the PowerPoint as needed. Where necessary, be sure to show your work so we can see where you got your answer and give partial credit if needed.
1. The following is a list of eight Massachusetts state prisons and their security levels (minimum is the lowest level, maximum is the highest level).
Prison Security Level
MCI–Cedar Junction Maximum
MCI–Concord Medium
MCI–Framingham Medium
MCI–Norfolk Medium
MCI–Plymouth Minimum
MCI–Shirley-Medium Medium
MCI–Shirley-Minimum Minimum
Souza-Baranowski Correctional Center Maximum
a. Find the modal security level.
b. Find the median security level.
c. Explain why it is inappropriate to calculate a mean security level.
2. A focus group of 10 registered voters was chosen to evaluate the performance of a Senate candidate during a debate about preventing terrorism on a scale from 1 to 10.
Rater Knowledge Rating Delivery Rating
1 7 5
2 8 8
3 9 8
4 3 2
5 3 5
6 5 4
7 9 8
8 2 3
9 6 7
10 3 2
a. Find the mode, median, and mean for the knowledge rating.
b. Find the mode, median, and mean for the delivery rating.
Mode =
Median:
Mean:
On which characteristic was the candidate rated more favorably on average?
3. The data set below is the number of infractions by inmates in one prison over the last few years. Calculate the average (mean) number of infractions per year. Then, calculate the deviation scores from the mean. What is the sum of the deviation scores?
Year # of Infractions
201156
201260
201365
201463
201561
201658
4. In a survey of states on the East Coast, researcher Allen recorded the numbers of homicides within the past month. After gathering the information, the following is a list of the number of homicides. The mean number of homicides is 6.08.
a. Calculate the range of homicides across states.
b. Calculate the variance for homicides across states.
Counties Number of Homicides )
Maine2
Massachusetts10
Rhode Island3
Connecticut3
New York19
New Jersey6
Delaware2
Maryland5
Virginia8
North Carolina5
South Carolina1
Georgia2
Florida13
c. Calculate the standard deviation for homicides across states.
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