Which of the following is an example of a continuous variable?

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BlackTom AI · Accepted Answer

To tackle the question, I’ll compare each option against the idea of a continuous variable, which can take on an infinite number of values within a range.
Option 1: Time taken to complete an exam. This is a classic example of a continuous variable because you can measure it with any degree of precision (e.g., 75.3 minutes, 75 minutes and 18 seconds, etc.), and it can assume an uncountable set of values.
Option 2: Number of books on a shelf. This is a discrete variable since you count whole units of books; you cannot have 3.5 books in a valid count.
Option 3: Number of cars in a parking lot. Like the books, this is discrete because cars come in whole units, and you count them as integers.
Option 4: Number of children in a household. This is also discrete for the same reason: you count whole individuals, and fractions of a child do not make sense in counting.
In summary, only the first option describes a measurement that can take an unlimited number of values along a continuum, whereas the other options are count data restricted to integers. This aligns with the definitions distinguishing continuous from discrete variables.

IS 2010-001 Spring 2025 Practice Exam 1

Which of the following is an example of a continuous variable?

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