What is the difference between continuous and discrete?

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Continuous and discrete are terms used in mathematics and statistics to describe different kinds of data.

Continuous data refers to measurements that can take on any value within a certain range. It is characterized by having an infinite number of possible values. Examples of continuous data include height, weight, temperature, and time. These variables can take on any value, such as 5.37 meters, 75.2 kilograms, or 98.6°F. Continuous data is typically represented on a continuous scale, such as a number line or a graph.

On the other hand, discrete data refers to measurements that can only take on specific values within a certain range. It is characterized by having a finite or countable number of possible values. Examples of discrete data include the number of students in a classroom, the number of cars in a parking lot, or the number of goals scored in a soccer match. Discrete data is usually represented on a discrete scale, such as a bar chart or a histogram, where each value is separate and distinct.

To determine whether a given variable is continuous or discrete, you need to consider the nature of the data and the possible values it can take. Continuous data can take on any value within a range, while discrete data can only take on specific, separate values.