If the possible outcomes of a random variable can be listed out using a finite (or countably infinite) set of single numbers (for example, {0, […] In contrast, a discrete variable over a particular range of real values is one for which, for any value in the range that the variable is permitted to take on, there is a positive minimum distance to the nearest other permissible value. They come in two different flavors: discrete and continuous, depending on the type of outcomes that are possible: Discrete random variables. Continuous Variable. The number of permitted values is either finite or countably infinite. If a variable can take on any value between its minimum value and its maximum value, it is called a continuous variable; otherwise, it is called a discrete variable.. For instance, if a variable over a non-empty range of the real numbers is continuous, then it can take on any value in that range. A continuous variable is defined as a variable which can take an uncountable set of values or infinite set of values. Common examples are variables that must be integers, non-negative integers, positive integers, or only the integers 0 and 1. In statistics, numerical random variables represent counts and measurements. Suppose the fire department mandates that all fire fighters must weigh between 150 and 250 pounds. Continuous Variable Definition. Some examples will clarify the difference between discrete and continuous variables.