Frequency Tables and Graphs

Be sure you have reviewed this module/week’s lessons and presentations along with the practice data analysis before proceeding to the homework exercises. Complete all analyses in SPSS, then copy and paste your output and graphs into your homework document file. Number all responses. Answer any written questions (such as the text-based questions or the APA Participants section) in the appropriate place within the same file. Review the “Homework Instructions: General” document for an example of how homework assignments must look.

 

Part I: Concepts

These questions are based on the Nolan and Heinzen reading and end-of-chapter questions.

 

Use the following table to answer Question 1. This table depicts the scores of 83 students on an exam worth 65 points.

 

Table: Grouped Frequency Table

Exam score

Frequency

60–62

3

57–59

9

54–56

21

51–53

18

48–50

14

45–47

10

42–44

8

 

  1. Use the information in the table to determine the percentages for each interval.

 

  1. When constructing a histogram and labeling the x- and y-axes, the lowest number on each axis should ideally be ________.

 

  1. A frequency distribution that is bell-shaped, symmetrical, and unimodal is ________.

 

  1. A frequency distribution that has a tail trailing off to the right of the distribution is ________.

 

  1. A frequency distribution of ages of residents at a senior citizen home is clustered around 83 with a long tail to the left. This distribution is _________.

 

  1. When a variable cannot take on values above a certain level, this is known as a(n) ________ effect.

 

  1. A grouped frequency table has the following intervals: 30–44, 45–59, and 60–74. If converted into a histogram, what would the midpoints be?

 

  1. Do the data below show a linear relation, non-linear relation, or no relation at all?

 

 

  1. Do the data below show a linear relation, non-linear relation, or no relation at all?

 

 

  1. At this website, you will find an interactive graph concerning New York City’s geography and income. Read the introduction and click on different “subway lines” to see how the interactive graph works. (Note that the abbreviations stand for the four different boroughs: MAN = Manhattan, BRX = Bronx, BRK = Brooklyn, QNS = Queens. Also note that hovering your mouse over the dots on the graph displays the subway stop and the median income of households in that area.)
    1. In which of the four boroughs is the median household income highest? (This is made evident as you click on the different lines.)
    2. Click on the “A” line. Does the line graph for Manhattan show high or low variability? What does this mean in terms of household income in this area of Manhattan?
    3. Click on line 2. Which borough shows the least variability in median household income?
    4. On line 2, find the following two subway stops: Park Place (the first of the highest Manhattan stops) and E 180 St. (one of the lowest Bronx stops, located about halfway across the BRX section). What is the difference between the median household incomes of the two areas?
    5. Click on the “D” line. Which subway stop in Brooklyn seems to be an outlier?

 


 

Part II: SPSS Analysis

  1. Green and Salkind, Lesson 20, Exercises 1–4

Open the “Lesson 20 Exercise File 1” document (found in the course’s Assignment Instructions folder) in order to complete these exercises. Always use the Blackboard files instead of the files on the Green and Salkind website as some files have been modified for the purposes of this course.

  1. Green and Salkind, Lesson 20, Exercises 5–7

Open the “Lesson 20 Exercise File 2” document (found in the course’s Assignment Instructions folder) in order to complete these exercises.

 

Part III: SPSS Data Entry and Analysis

  1. This question is based on the data in the end-of-chapter Question 2.30 of the Nolan and Heinzen textbook. Create a variable called “num_years” in a new SPSS file. Enter the data given in #2.30. Remember to enter the data as 1 column (variable).
    1. Run a frequencies analysis that includes descriptive statistics for these scores (central tendency, dispersion, and distribution) and create a frequency table in SPSS for these data.
    2. Create a histogram for these data.
    3. How many schools have an average completion time of 8 years or less? An average completion time of 10 years or more?

The steps will be the same as the ones you have been practicing in Part I of the assignment; the only difference is that you are now responsible for creating the data file as well. Remember to do the following:

a)      Name and define your variables under the “Variable View,” then return to the “Data View” to enter the data; and

b)      Paste all SPSS output and graphs into your homework file at the appropriate place.

 

 

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