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How can qualitative variables be organized into categories?
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statistics
Figure 1: A bar graph showing the marital status of 100 individuals.
Qualitative variables are organized into categories by assigning labels or names to items that share similar characteristics. To effectively summarize and present this data, statisticians use several tabular and graphical methods:1
Tabular Methods
- Frequency Distribution: This is the primary method for organizing qualitative data. It involves creating nonoverlapping classes for each category and counting the number of data values that fall into each.2
- Relative Frequency Distribution: This provides a summary showing the fraction or percentage of the total data values that belong to each category.2
- Cross Tabulation: When analyzing two variables simultaneously, a cross tabulation (or two-way table) is used. It organizes data into rows and columns, where each cell represents the intersection of specific categories from two different variables.2
Graphical Methods
- Bar Graph: This device displays categories on the horizontal axis, with the height of each bar representing the frequency of data values in that category.3
- Pie Chart: This represents the data as a circle divided into slices, where the size of each slice is proportional to the number of data values in the corresponding category.3