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One possible opposite of a numerical scale is a "nominal" scale.

In the study of statistics, we use four "scales of measurement": nominal; ordinal; interval; ratio. The "nominal," scale, which simply names categories, is, in a sense, non-numerical.

On "nominal" scales, people or objects with the same attribute are assigned the same scale-value. Examples of categories on nominal scales are ethnicity, gender, marital status, styles of housing, models of cars.

For example, a nominal scale of "marital status" might be numbered as follows:

1. Single, never married.

2. Single, previously married.

3. Married.

Although we may count the number of people (or items) in each category, the numerals assigned to the "nominal" scale have no 'numeric' meaning in the way that we usually think about numbers. On that view, a nominal scale may be said to be non-numerical and, therefore, the opposite of a numerical scale.

Actually, integers form a subset of numbers, not the other way around.

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Q: What is the opposite of a numerical scale?
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