Consider the below variables from the survey data set. From the list, select the variable(s) that is/are ordinal categorical variables.

Question

BlackTom AI · Accepted Answer

Ordinal categorical variables are those whose categories are discrete labels that carry a meaningful order but do not have numeric distances between levels. Examples of measurement scales: nominal (names, no order), ordinal (ordered categories), interval/ratio (numeric with meaningful differences and possibly a true zero). 1. Relevant knowledge points and concepts - Ordinal categorical: ordered categories (e.g., small < medium < large). - Nominal categorical: categories with no intrinsic order (e.g., eye color). - Quantitative (interval/ratio): numeric measurements where arithmetic operations and meaningful distances apply (e.g., height, age, pulse, lengths). 2. Step-by-step reasoning - Examine each listed variable and classify its measurement scale: a. Writing hand span: measured in centimetres → a numeric continuous (ratio) variable. b. Age (years): numeric, measured on a ratio scale (differences and ratios meaningful). c. Pulse (beats per minute): numeric (ratio) physiological measurement. d. Smoke: given as factor with levels “Heavy”, “Regul” (regularly), “Occas” (occasionally), “Never” → categorical labels that clearly have a natural ordering from most to least smoking. This is an ordinal categorical variable. e. Non-writing hand span: numeric in centimetres → continuous (ratio). 3. Calculations - No numeric calculations are required; classification relies on scale definitions. 4. Why the correct answer is correct - The smoke variable’s levels represent a ranked progression (Heavy > Regular > Occasional > Never). Although labels are non-numeric, their order conveys increasing/decreasing intensity, meeting the definition of ordinal categorical. 5. Why other options are incorrect - a, b, c, e are measured quantities with numeric values and meaningful differences (and a true zero for lengths, age, pulse). They are quantitative (interval/ratio) variables, not ordinal categorical. 6. Conclusion - Therefore, the only ordinal categorical variable in the list is d. This confirms the provided answer: d. Smoke (how much the student smokes).

Consider the below variables from the survey data set. From the list, select the variable(s) that is/are ordinal categorical variables.Multiple choice

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