Which scale has no discrete steps; theoretically, all points along the scale are meaningful?

Which scale has no discrete steps; theoretically, all points along the scale are meaningful?

• A. Continuous scale/variable
• B. Discrete variable
• C. Frequency data
• D. Interquartile range

Answer: (A)

Continuous variables can take any value along a continuum within a range, with no discrete steps. This means that between any two values, there is always another value you could in principle specify, so every point along the scale is meaningful. Although real-world measurements have limited precision, the defining idea is that there are no inherent gaps between values on a continuous scale. This distinguishes it from discrete variables, which can only take specific, separate values (there are gaps between possible values). Frequency data are counts, which are inherently discrete because you can only have whole-number counts. The interquartile range is a statistic that describes spread of a distribution, not a type of measurement scale, so it doesn’t indicate whether a variable is continuous.

Continuous variables can take any value along a continuum within a range, with no discrete steps. This means that between any two values, there is always another value you could in principle specify, so every point along the scale is meaningful. Although real-world measurements have limited precision, the defining idea is that there are no inherent gaps between values on a continuous scale.

This distinguishes it from discrete variables, which can only take specific, separate values (there are gaps between possible values). Frequency data are counts, which are inherently discrete because you can only have whole-number counts. The interquartile range is a statistic that describes spread of a distribution, not a type of measurement scale, so it doesn’t indicate whether a variable is continuous.