Discrete Variable:

* Definition: A discrete variable is a type of variable that can only take on a finite number of values or a countable number of values. These values are often whole numbers or integers, but they can also be categories or labels.

* Characteristics:

* Distinct Values: The values of a discrete variable are separate and distinct, with no values in between.

* Countable: You can count the possible values of a discrete variable.

* Not Continuous: The values don't flow smoothly from one to the next.

Examples of Discrete Variables:

* Number of siblings: You can have 0, 1, 2, 3 siblings, etc., but you can't have 2.5 siblings.

* Number of cars in a parking lot: You can have 0, 1, 2, 3 cars, etc., but not 1.7 cars.

* Number of heads when flipping a coin twice: You can get 0, 1, or 2 heads.

* Favorite color: This is a categorical variable with a finite number of distinct categories.

* Type of pet: Again, a finite number of categories (dog, cat, bird, etc.).

Contrast with Continuous Variables:

* Continuous Variable: A continuous variable can take on any value within a given range. Think of height, weight, or temperature. You can have 5.2 feet tall, 150.7 pounds, or 72.3 degrees Fahrenheit.

In Summary:

Discrete variables represent data that can be counted in whole numbers or categories. Think of them as distinct steps or jumps rather than a smooth, continuous flow.