In mathematics and data analysis, you determine whether a graph is continuous or discrete based on the nature of the data it represents and the type of variables involved.
1. Continuous Data: A graph represents continuous data if it depicts variables that can take on an infinite number of values within a given range. These variables are typically measured and can include real numbers. Common examples of continuous data include measurements like height, weight, temperature, or time.
* Characteristics of continuous data:
* Infinite number of possible values.
* Smooth and unbroken graphs.
* Typically represented using curves or lines.
2. Discrete Data: A graph represents discrete data when it represents variables that can only take on specific, distinct values, often integers. Discrete data is countable and finite within a given range. Examples include the number of students in a class, the count of cars in a parking lot, or the number of items sold in a store.
* Characteristics of discrete data:
* Limited, distinct values.
* Often depicted using bar charts, histograms, or other non-continuous representations.
To determine whether a graph is continuous or discrete, consider the type of data being represented. Continuous data will have smooth, uninterrupted curves or lines, while discrete data will have gaps between data points or bars representing distinct values.