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Answer: A quantitative variable that can take on an uncountable set of values
A continuous variable is defined as a quantitative variable that can take on an uncountable set of values, meaning it can assume any value within a given range. This aligns with statistical definitions where continuous variables are measured rather than counted and can include fractions or decimals (e.g., height, weight, time). Option C correctly captures this definition. Option A is incorrect because continuous variables do not necessarily 'never stop changing'; they can be constant in some contexts. Option B describes a discrete variable, which takes finite or countably infinite values (e.g., number of students). Option D is incorrect as it describes a categorical variable, not a continuous one. The community discussion shows 100% consensus on option A, but this appears to be a misinterpretation; based on standard statistical knowledge, C is the accurate choice.
Author: LeetQuiz Editorial Team
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Which of the following best describes a continuous variable?
A
A quantitative variable that never stops changing
B
A quantitative variable that can take on a finite or countably infinite set of values
C
A quantitative variable that can take on an uncountable set of values
D
A categorical variable in which the number of categories continues to increase over time
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