Understanding the Concepts
A continuous variable is a variable that can take on any value within a given range. For example, height, weight, and temperature are all continuous variables.
A qualitative variable, on the other hand, describes a quality or characteristic that cannot be measured numerically. Examples include color, gender, and opinion.
The Challenge
The key point is that a variable cannot be both continuous and qualitative. Qualitative variables describe categories or attributes, while continuous variables measure quantities.
An Example
Let's consider the example of color. Color is a qualitative variable because it describes a characteristic. We might categorize colors as red, blue, green, etc. However, color cannot be measured on a continuous scale.
Conclusion
There is no example of a continuous qualitative variable because these two concepts are mutually exclusive.