Which of the following is a categorical variable?

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BlackTom AI · Accepted Answer

The question asks: Which of the following is a categorical variable?

First, let me restate what a categorical variable is: a variable that places an observation into one of a finite set of categories or groups, where the categories are typically non-numeric and represent names or labels.

In this item, the provided answer suggests 'nation of birth' as the correct option. Thinking about the concept, 'nation of birth' is a label that identifies the country a person was born in; it takes on distinct categories such as USA, Canada, India, etc. These categories are qualitative and unlabeled on a natural numeric scale, which is characteristic of a categorical variable.

Why this fits a categorical variable:
- The values are names (labels) of countries, not quantities or measurements.
- The categories are nominal: they do not have a meaningful order or ranking among them, just distinct groups.
- It contrasts with a numeric or continuous variable (like height, temperature, or age) where the values are numbers with a meaningful magnitude and arithmetic operations.

What to consider if other options were present:
- If an option listed a numeric measurement (e.g., age in years), that would generally be a quantitative variable, not categorical.
- If an option listed a binary yes/no feature, that would be a special case of categorical (binary) but still categorical in nature.

Note on the given data: the answer_options field is empty, so there are no alternative choices to compare. In a real assessment, you would evaluate each given option against the definition of a categorical variable, selecting the one that labels observations by category rather than by numeric magnitude.

In summary, 'nation of birth' exemplifies a categorical (nominal) variable because it classifies individuals into named categories without inherent ordering or numeric meaning.

Statistics Chapters 1-6 Test - Describing Data

Which of the following is a categorical variable?

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