AP Statistics Flashcards: Representing a Categorical Variable with Graphs
Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026
Review key ideas with interactive flashcards. This set includes 14 cards to help you master important concepts.
To compare the modes of transportation used by employees in 2010 versus 2020, what two representations could you create?
You could create frequency tables or bar graphs for each year to compare the two sets of categorical data.
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To compare the modes of transportation used by employees in 2010 versus 2020, what two representations could you create?
You could create frequency tables or bar graphs for each year to compare the two sets of categorical data.
What are two common tools used to compare two or more data sets for the same categorical variable?
Frequency tables and bar graphs can both be used effectively to compare two or more data sets for the same categorical variable.
What is the fundamental task involved when you compare multiple sets of categorical data?
The fundamental task is to compare the frequencies or relative frequencies of the same categories across the different data sets.
In a bar graph, what does the length of each bar represent?
The length of a bar corresponds to the count (frequency) or proportion (relative frequency) of observations within that specific category.
What is the primary function of a bar chart in statistics?
Bar charts are used to display the frequencies or relative frequencies for different categories of data.
If you wanted to compare the distribution of student majors between two different universities, what graphical display would be appropriate?
A bar chart would be appropriate, as it can be used to compare multiple sets of categorical data, such as student majors at two universities.
What is a key purpose of representing categorical data graphically?
A key purpose is to provide a clear visual display of the frequencies or relative frequencies of the categories, which allows for easier description and comparison.
Are bar charts the only type of graph that can represent frequencies for categorical data?
No, many other types of graphs can also be used to represent frequencies for categorical data.
What are the two types of values that the bars on a bar chart can represent?
The bars on a bar chart can represent either frequencies (counts) or relative frequencies (proportions/percentages) for each category.
How do graphical representations of categorical data aid in making comparisons?
Graphs like bar charts provide a visual comparison of bar lengths, making it easy to see differences in counts or proportions between categories or across different data sets.
What is the difference between a graph showing 'frequency' and one showing 'relative frequency'?
A graph showing frequency displays the actual count of observations in each category, while a graph showing relative frequency displays the proportion or percentage of observations in each category.
What is the primary goal when asked to describe a graphical representation of categorical data?
The goal is to describe the data by noting the different categories and comparing their corresponding frequencies or relative frequencies.
A bar chart shows the bar for 'Brand X' is significantly shorter than the others. What claim could this data justify?
This graphical representation could justify the claim that Brand X has the lowest frequency of observations (e.g., sales, preferences) compared to the other brands shown.
How can a graph of a categorical variable be used to support a claim?
Graphical representations, such as a bar chart showing different bar lengths, can be used to justify claims about the data in context, like which category is most or least frequent.