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A variable is a characteristic property of all individuals in a population or sample.
It is a categorization of the population such that each individual can be unambiguously described with respect to said variable.
A quantitative variable is a variable such that:
- The variable can be described by numbers
- The performing of arithmetical operations on the data is meaningful.
A qualitative variable is a variable such that:
- The variable is not a quantitative variable
- The variable describes each individual as either having, or not having, some specific property.
A continuous variable is a variable which can take any value between two given values.
A discrete variable is a variable which is not continuous.
- 2011: Charles Henry Brase and Corrinne Pellillo Brase: Understandable Statistics (10th ed.): $\S 1.1$