Which type of variable can take on an infinite number of values within a given range?

Which type of variable can take on an infinite number of values within a given range?

• A. Independent
• B. Dependent
• C. Discrete
• D. Continuous

Answer: (D)

The key idea is that a variable can be continuous or discrete depending on whether it can take an infinite number of values within a range. A continuous variable can assume any value on a continuum between two endpoints, so there are infinitely many possible values even between numbers that seem close. This is why things like height, temperature, or reaction time are described as continuous — you can measure them to increasingly precise decimals, and there’s always room for a new value between any two measurements. In the context of the question, the emphasis on taking on infinitely many values within a range points to a continuous variable. Independent and dependent describe a variable’s role in a study (which one you manipulate versus which one you measure) and aren’t about how many values the variable can take. Discrete variables, by contrast, are restricted to a countable set of separate values (like whole numbers), with clear gaps between possible values.

The key idea is that a variable can be continuous or discrete depending on whether it can take an infinite number of values within a range. A continuous variable can assume any value on a continuum between two endpoints, so there are infinitely many possible values even between numbers that seem close. This is why things like height, temperature, or reaction time are described as continuous — you can measure them to increasingly precise decimals, and there’s always room for a new value between any two measurements. In the context of the question, the emphasis on taking on infinitely many values within a range points to a continuous variable.

Independent and dependent describe a variable’s role in a study (which one you manipulate versus which one you measure) and aren’t about how many values the variable can take. Discrete variables, by contrast, are restricted to a countable set of separate values (like whole numbers), with clear gaps between possible values.