A continuous variable is one that can take any value within an interval (or a set of intervals). A discrete variable is one that can only take certain values.
Some further notes:
* Often a discrete variable takes integer values, but that is not necessary.
* Neither discrete nor continuous variables need be limited to a finite number of possible values.
* Frequently, continuous variables are continuous only in principle, and the measuring instruments or recording make them discrete. Eg your height is continuous but as soon as it is recorded as 1.75 cm or 5'9", it is made discrete.
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Discrete: number of elements in finite; continuous: number of elements is infinite.
A discrete random variable (RV) can only take a selected number of values whereas a continuous rv can take infinitely many.
Discrete and Continuous GraphThis will be a very basic definition but understandable one A graph is discrete when one (or both) of the variables has discrete entries, its means that are entered number, without decimal part, so the graph has no continuity, the trace will be broken parts, not a single one.beside a continuous graph is a graph where both variables are continuous, it means that their field's are de Real number, so the trace it's a continuous line.Also we can differentiated because the range are points (in a discrete one) and all the numbers (in a continuous one).
Some manufacturing is discrete, some continuous.
continuous discrete
discrete distribution is the distribution that can use the value of a whole number only while continuous distribution is the distribution that can assume any value between two numbers.