Statistics Homework Assignment Three (3)

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Lone Star College System, North Harris *

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1342

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Statistics

Date

Feb 20, 2024

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docx

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Uploaded by rivers153

Quantitative Analysis Homework Assignment Three What do I do and why am I doing it? For this homework assignment, there are going to be several problems that you will be required to solve. Some of these will involve calculation on your own part, while others will require the use of SPSS using the designated files. Each question will list whether SPSS is required. In this assignment, you will demonstrate the following:  The ability to calculate and interpret the mean, median, and mode for several variables.  The ability to calculate and interpret the variation ratio, range, variance, and standard deviation for several variables  Identify the appropriate measure of central tendency and dispersion for certain variables  The ability to generate the mean, median, range, and standard deviation for several variables in SPSS.

Assignment Problems 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 ORDINAL 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. c. On which characteristic was the candidate rated more favorably on average? 3. College students were surveyed by a research team to understand how often students drink alcohol. Identify the modal category and calculate the variation ratio. Interpret the results. How many days drinking alcohol in a week? f 0 days 560 1–2 days 4,300 3–4 days 1,056 5–7 days 345 N = 6,261

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4. A professor is trying to understand the attendance habits of her students. Below is a list of the number of days missed for each of the 10 students in the class. Days absent: 7, 8, 0, 4, 6, 10, 25, 30, 14, 21 Mean days absent = 12.5 a. Calculate the range of days absent for the class. b. Calculate the variance and standard deviation for the days absent for the class. 5. You are needed once again by the police department that you gathered data for! They are wanting the appropriate measure of central tendency and central dispersion for the following variables: a. Age b. Rank c. Use of force instances d. Citizen Complaints Using SPSS, choose the appropriate measure of central tendency and dispersion for the listed variables. Copy and paste the output in the document below.