Which variable can be measured to any level of precision (Time is given as an example)?

Which variable can be measured to any level of precision (Time is given as an example)?

• A. Discrete variable
• B. Continuous variable
• C. Categorical variable
• D. Binary variable

Answer: (B)

Continuous variables can take on an infinite number of values within a range, so you can measure them with arbitrary precision. Time is a prime example: you can record it in seconds, milliseconds, microseconds, nanoseconds, and so on, getting as fine a measurement as your instrument allows. Discrete variables, by contrast, can only take specific, separate values (like counts), so you can’t measure them at intermediate fractions. Categorical variables are labels without meaningful numeric spacing, and binary is just two categories, which are also discrete. So time fits the idea of a continuous variable because its measurements can be made at any desired level of precision.

Continuous variables can take on an infinite number of values within a range, so you can measure them with arbitrary precision. Time is a prime example: you can record it in seconds, milliseconds, microseconds, nanoseconds, and so on, getting as fine a measurement as your instrument allows. Discrete variables, by contrast, can only take specific, separate values (like counts), so you can’t measure them at intermediate fractions. Categorical variables are labels without meaningful numeric spacing, and binary is just two categories, which are also discrete. So time fits the idea of a continuous variable because its measurements can be made at any desired level of precision.