Ann wants to describe the demographic characteristics of a sample of 25 individuals who completed a large-scale survey. She has demographic data on the participants' gender (two categories), educational level (four categories), marital status (three categories), and community population size (eight categories).
1. Using IBM SPSS software, conduct a frequency analysis on the gender and marital status variables. From the output, identify the following:
a. Percent of men
b. Mode for marital status
c. Frequency of divorced people in the sample
2. Using IBM SPSS software, create a frequency table to summarize the data on the educational level variable.
The data for Exercise 8 is available in the data file named Lesson 21 Exercise File 1.
3. David collects anxiety scores from 15 college students who visit the university health center during finals week. Compute descriptive statistics on the anxiety scores. From the output, identify the following:
a. Skewness
b. Mean
c. Standard deviation
d. Kurtosis
From Green & Salkind (2011). Copyright © 2012 Pearson Education. All Rights Reserved. Adapted with permission.
Part A
1. Compute the means for the following set of scores using IBM SPSS software. The data sets can be found through the Sage Materials in the Student Textbook Resource Access link, listed under Academic Resources. The following set of scores are saved as Ch. 2 Data Set 3. Copy and paste the output from IBM SPSS into this worksheet.
|
Hospital size (number of beds)
|
Infection rate (per 1,000 admissions)
|
|
234
|
1.7
|
|
214
|
2.4
|
|
165
|
3.1
|
|
436
|
5.6
|
|
432
|
4.9
|
|
342
|
5.3
|
|
276
|
5.6
|
|
187
|
1.2
|
|
512
|
3.3
|
|
553
|
4.1
|
2. You are the manager of a fast food store. Part of your job is to report which special is selling best to the boss at the end of each day. Use your knowledge of descriptive statistics and write one paragraph to let the boss know what happened today. Use the following data. Do not use IBM SPSS software to compute the statistics needed; rather, do it by hand. Include a copy of your work.
|
Special number
|
Sold
|
Cost
|
|
Huge Burger
|
20
|
$2.95
|
|
Baby Burger
|
18
|
$1.49
|
|
Chicken Littles
|
25
|
$3.50
|
|
Porker Burger
|
19
|
$2.95
|
|
Yummy Burger
|
17
|
$1.99
|
|
Coney Dog
|
20
|
$1.99
|
|
Total specials sold
|
119
|
|
3. Use IBM SPSS software to compute all the descriptive statistics for the following set of three test scores over the course of a semester. Which test had the highest average score? Which test had the smallest amount of variability?
|
Test 1
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Test 2
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Test 3
|
|
50
|
50
|
49
|
|
48
|
49
|
47
|
|
51
|
51
|
51
|
|
46
|
46
|
55
|
|
49
|
48
|
55
|
|
48
|
53
|
45
|
|
49
|
49
|
47
|
|
49
|
52
|
45
|
|
50
|
48
|
46
|
|
50
|
55
|
53
|
4. This practice problem uses the data contained in the file named Ch. 3 Data Set 3. There are two variables in this data set. The data sets can be found through the Sage Materials in the Student Textbook Resource Access link, listed under Academic Resources. Using IBM SPSS software, compute all of the measures of variability you can for height and weight. Copy and paste the output from IBM SPSS into this worksheet.
|
Variable
|
Definition
|
|
Height
|
Height in inches
|
|
Weight
|
Weight in pounds
|
5. For each of the following, indicate whether you would use a pie, line, or bar chart, and why.
a. The proportion of freshmen, sophomores, juniors, and seniors in a particular university - pie
b. Change in GPA over four semesters
c. Number of applicants for four different jobs
d. Reaction time to different stimuli
e. Number of scores in each of 10 categories
From Salkind (2014). Copyright © 2014 SAGE. All Rights Reserved. Adapted with permission.
Part B
Complete the questions below. Be specific and provide examples when relevant.
Question:
Salkind (2014) describes statistics as a set of tools. How do behavioral scientists use those tools?
What does a measure of central tendency tell us about a data set? Identify the three common measures of central tendency used in descriptive statistics and give an example of each. How do you calculate them?
What is variability in a data set? Identify three measures of variability used in descriptive statistics, explain how to calculate each, and give an example of each.