Central Tendency and Variability

 

 

 

 

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.
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 General Social Survey 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?
Frankfort-Nachmias, C., Leon-Guerrero, A., & Davis, G. (2020). Social statistics for a diverse society (9th ed.).
Thousand Oaks, CA: Sage Publications.
Chapter 3, “Measures of Central Tendency” (pp. 75-111)
Chapter 4, “Measures of Variability” (pp. 113-150)
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”
Laureate Education (Producer). (2016d). Descriptive statistics [Video file]. Baltimore, MD: Author.

 

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