A discrete variable is a quantitative variable that has either a finite number of possible values or a countable number of possible values. If you count to get the value of a quantitative variable, it is discrete
A continuous variable is a quantitative variable that has an infinite number of possible values that are not countable. If you use a measuring instrument to get the value of a quantitative variable, it is continuous
It is important to know which type of scale is represented by your data since different statistics are appropriate for different scales of measurement as this determines the amount of information contained in the data. The higher the level, the more information it can assume
Classifies persons or objects into two or more categories. Each person can only be in one category, and members of a given category have a common set of characteristics. Nonnumeric labels or numeric codes may be used
Ranks subjects in terms of the degree to which they possess a characteristic of interest. Puts subjects in order from highest to lowest, from most to least, but does not indicate how much higher or better a data is to others
Classifies and orders measurements, specifies that distances between each interval on the scale are equivalent, and allows arithmetic operations like addition and subtraction. A value of zero does not mean the absence of the quantity
Represents the highest, most precise level of measurement. Has properties of the interval level and ratios of values have meaning. A value of zero means the absence of the quantity. Allows arithmetic operations like multiplication and division