1. 1: Analyzing Categorical Data


How to examine a marginal distribution



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How to examine a marginal distribution:

  1. Use the data in the table to calculate the marginal distribution (in percents) of the row or column totals.

  2. Make a graph to display the marginal distribution.



Ex: Find the marginal distribution of chance of getting rich. Display your results.

Ex: A Titanic Disaster

In 1912 the luxury liner Titanic, on its first voyage across the Atlantic, struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. The two-way table below gives information about adult passengers who lived and who died, by class of travel. Find the marginal distribution of survival status. Display your results.




    • Marginal distributions tell us nothing about the relationship between two variables.

    • A conditional distribution of a variable describes the values of that variable among individuals who have a specific value of another variable.


How to examine or compare conditional distributions:

  1. Select the row(s) or column(s) of interest.

  2. Use the data in the table to calculate the conditional distribution (in percents) of the row(s) or column(s).

  3. Make a graph to display the conditional distribution.

    • Use a side-by-side bar graph or segmented bar graph to compare distributions.



Ex: Calculate the conditional distribution of opinion among males.



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