Categorical variables may also be referred to as nominal, ordinal, discrete, or qualitative.

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Categorical variables are indeed referred to as nominal or qualitative when they represent categories without an inherent order, and as ordinal when the categories have a natural order. "Discrete" is a term that can apply to categorical variables because they take on a limited number of distinct values, but it is more broadly applicable to any variable, numerical or categorical, that can only take specific values.

Categorical Variables May Also Be Referred to as Nominal, Ordinal