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Discussion: Central Tendency and Variability
Discussion: Central Tendency and Variability
Please read the discussion requirements carefully.
Understanding descriptive statistics and their variability is a fundamental aspect of statistical analysis. On their own, descriptive statistics tell us how frequently an observation occurs, what is considered “average”, and how far data in our sample deviate from being “average.” With descriptive statistics, we are able to provide a summary of characteristics from both large and small datasets. In addition to the valuable information they provide on their own, measures of central tendency and variability become important components in many of the statistical tests that we will cover. Therefore, we can think about central tendency and variability as the cornerstone to the quantitative structure we are building.
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For this Discussion, you will examine central tendency and variability based on two separate variables. You will also explore the implications for positive social change based on the results of the data.
To prepare for this Discussion:
 Review this week’s Learning Resources and the Descriptive Statistics media program.
 For additional support, review the Skill Builder: Visual Displays for Categorical Variables and the Skill Builder: Visual Displays for Continuous Variables, which you can find by navigating back to your Blackboard Course Home Page. From there, locate the Skill Builder link in the left navigation pane.
 Review the Chapter 4 of the Wagner text and the examples in the SPSS software related to central tendency and variability.
 From the Afrobarometer dataset found in this week’s Learning Resources, use the SPSS software and choose one continuous and one categorical variable Note: this dataset will be different from your Assignment dataset).
 As you review, consider the implications for positive social change based on the results of your data.
Post, present, and report a descriptive analysis for your variables, specifically noting the following:
For your continuous variable:
 Report the mean, median, and mode.
 What might be the better measure for central tendency? (i.e., mean, median, or mode) and why?
 Report the standard deviation.
 How variable are the data?
 How would you describe this data?
 What sort of research question would this variable help answer that might inform social change?
Post the following information for your categorical variable:
 A frequency distribution.
 An appropriate measure of variation.
 How variable are the data?
 How would you describe this data?
 What sort of research question would this variable help answer that might inform social change?
Be sure to support your Main Post and Response Post with reference to the week’s Learning Resources and other scholarly evidence in APA Style.
Required Readings
FrankfortNachmias, C., LeonGuerrero, A., & Davis, G. (2020). Social statistics for a diverse society (9th ed.). Thousand Oaks, CA: Sage Publications.
 Chapter 3, “Measures of Central Tendency” (pp. 75111)
 Chapter 4, “Measures of Variability” (pp. 113150)
Wagner, III, W. E. (2020). Using IBM® SPSS® statistics for research methods and social science statistics (7th ed.). Thousand Oaks, CA: Sage Publications.
 Chapter 4, “Organization and Presentation of Information”
 Chapter 11, “Editing Output”
Afrobarometer dataset

WAL_RSCH8210_03_A_ENCC.zip
WAL_RSCH8210_03_A_ENCC.mp4

3D6210Week3DiscussionHowToCompleteDiscussionRequirement.docx
6210 Week 3 Discussion How To Complete the Discussion Requirement
Use the Afrobarometer dataset
Choose one continuous variable (interval or ratio) and one categorical variable (nominal or ordinal)
Remember, ‘Scale’ is an SPSS term and it is not a level of measurement
Include your SPSS Output in your post.
Post a descriptive analysis for each of your chosen variables:
For the continuous (interval or ratio) variable:
Open the data set, select Analyze, select Descriptive Statistics, select Frequencies, drag your chosen variable into the Variables box, select Statistics, check every box, select Continue, select OK.
Report the mean, median, and mode
State the best measure for central tendency (i.e., mean, median, or mode) and explain (with a citation) why your choice is the best measure
Report the standard deviation and the variance
Discuss the variability of the data. Avoid using words like “small, large, huge, etc.”
Discuss this variable in the context of social change and support your discussion with citations
For your categorical (nominal or ordinal) variable:
Open the data set, select Analyze, select Descriptive Statistics, select Frequencies, drag your chosen variable into the Variables box, Select Charts, select Bar charts or Pie charts, select Frequencies, select Continue, select OK.
(Do not select or report measures of central tendency or measures of variability for a categorical variable)
Discuss the frequency distribution in terms of percentages in each category of the variable.
Discuss the variability of the data in terms of subjective observations of the frequency distribution. For example, females outnumber males by 9::1 and by calculating, reporting, and analyzing the IQV.
Discuss this variable in the context of social change and support your discussion with citations