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Vocabulary flashcards covering key concepts from AP Stats Lesson 1.1 and 1.2 (data types, variables, graphs, and tables).
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Categorical (qualitative) variable
A variable that places observations into named categories or labels (uses words; examples: student ID, favorite class, league).
Quantitative (numerical) variable
A variable that takes numeric values representing amounts or counts (examples: test scores, stadium capacity, number of students).
Individual
A single object described by data in a data set (e.g., a baseball team).
Explanatory variable
The variable used to explain or predict the outcome; the input or factor being studied (often denoted X).
Response variable
The outcome measured in response to the explanatory variable; the dependent variable (often denoted Y).
Bar graph
A chart that uses bars to display the frequency or relative frequency of categories in a categorical variable.
Relative frequency
The proportion or percent of observations in a category (frequency divided by total).
Frequency
The count of observations in a category.
Segmented bar graph
A bar graph divided into segments representing subcategories; used to compare distributions across groups.
Mosaic plot
A graphical display of two or more categorical variables using rectangles whose areas are proportional to joint frequencies; shows association patterns.
Two-way table
A table that shows counts for two categorical variables, with rows and columns representing their levels.
Association
A relationship between two categorical variables where the distribution of one variable differs across levels of the other.
No association
There is no evident relationship between the variables; distributions are similar across levels.
Proportion
A part of the total; a ratio of a subset to the whole (e.g., proportion of private colleges in a state).
Population
The entire group of individuals or items that could be studied.
Sample
A subset of the population selected for analysis.
Frequency distribution
A table or chart that shows the counts of observations in each category or class.