Final answer:
Discrete variables have specific countable values, while continuous variables vary continuously within a range. Qualitative variables lack numerical assignments and include categorical groupings without inherent order.
Explanation:
Discrete variables can only take specific values that can be counted, such as integers, while continuous variables can take on any value within a range, often measured. For example, the number of students in a class is a discrete variable, while the height of students is a continuous variable.
Discrete variables can be further categorized as nominal or ordinal, and continuous variables can be interval or ratio. For instance, the number on a student's jersey is a nominal discrete variable, while time taken to complete a test is a continuous interval variable.
Qualitative variables are those without numerical values assigned, like categorical variables, which group data based on characteristics but lack inherent order, such as different colors or types of fruits.
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