Which statement best defines continuous numerical data?

• A. Values can take any real value within a range
• B. Data that lists categories like red, blue, green
• C. Data that has a natural order but fixed intervals only
• D. Values are always integers

Answer: (A)

Continuous numerical data are measurements that can take any real value within a range. This means between any two values you can always find another value, so numbers aren’t limited to whole numbers or fixed steps. For example, height could be 170.2 cm, 170.25 cm, or 170.251 cm, and time could be 12.3 seconds or 12.3456 seconds. In theory, there is an unlimited number of possible values between any two measurements.

The other descriptions don’t fit this idea. Listing categories like red, blue, green refers to qualitative (categorical) data, not numbers. Data with a natural order but fixed intervals suggests discrete or ordinal data, where you only have certain steps or ranks. Values that are always integers describe discrete data, not continuous.