Interval and ratio data are ___________________, and nominal and ordinal are ______________________.

Interval and ratio data are ___________________, and nominal and ordinal are ______________________.

• A. Quantitative data; Qualitative Data
• B. Qualitative data; Quantitative Data
• C. Discrete data; Continuous data
• D. Categorical data; Ordered data

Answer: (A)

The main idea is how data are classified by measurement scale into quantitative (numerical) versus qualitative (categorical). Interval and ratio data are numerical because they express amounts with numbers and allow arithmetic operations. Interval data have equal intervals between values but do not have a true zero, so you can add and subtract meaningfully, but not form meaningful ratios. Ratio data also have a true zero, so you can perform all arithmetic operations, including multiplication and division, and make ratio comparisons. Nominal data are categories without inherent order, and ordinal data have order but not equal intervals; both are descriptive categories, not numeric measurements, so they’re considered qualitative. Therefore, interval and ratio are quantitative data, while nominal and ordinal are qualitative data.

The main idea is how data are classified by measurement scale into quantitative (numerical) versus qualitative (categorical). Interval and ratio data are numerical because they express amounts with numbers and allow arithmetic operations. Interval data have equal intervals between values but do not have a true zero, so you can add and subtract meaningfully, but not form meaningful ratios. Ratio data also have a true zero, so you can perform all arithmetic operations, including multiplication and division, and make ratio comparisons. Nominal data are categories without inherent order, and ordinal data have order but not equal intervals; both are descriptive categories, not numeric measurements, so they’re considered qualitative. Therefore, interval and ratio are quantitative data, while nominal and ordinal are qualitative data.