Answer
Discrete variable:
- Countable.
- Between two consecutive numbers there is a fixed interval with no possible values.
Continuos variable:
- Measurable.
- Between any two possible values there are infinite other possible values.
Work Step by Step
A discrete variable is countable, that is, we use, in almost the cases, the natural numbers (0, 1, 2, 3, ...) for the value of a discrete variable. For example, the number of people in the classroom.
A continuos variable is measurable. We need to use the real numbers for the value of a continuous variable. For example, the volume of water in a cup.