Understanding Discrete Graphs: Definition, Examples, and Applications

Discrete Graph

A discrete graph is a graph that represents data that is isolated or distinct, rather than continuous

A discrete graph is a graph that represents data that is isolated or distinct, rather than continuous. In other words, it shows values that can only take on specific, separate points on the graph.

To understand what a discrete graph looks like, let’s consider an example. Imagine you are keeping track of the number of books you read each month for a year. You may end up with a table that shows the number of books read in each month:

Month | Number of Books Read
—————————————
January | 5
February | 7
March | 4
April | 6
May | 3
June | 5
July | 8
August | 2
September | 6
October | 3
November | 4
December | 7

To visualize this data on a graph, you would plot points that represent the number of books read on the y-axis and the corresponding month on the x-axis. Since the data points are separate and distinct values, the resulting graph would consist of individual points.

Each point on the graph represents a specific month and the number of books read during that month. For example, in January, you read 5 books, so you would plot a point on the graph at the coordinates (January, 5). Similarly, for February, the point would be at (February, 7).

When all the points are plotted and connected, you will see a series of isolated points forming a pattern. This is what a discrete graph looks like.

Discrete graphs are commonly used to represent data that cannot be measured continuously, such as counting numbers or categories. It is particularly useful when dealing with information that is not changing smoothly over time or another continuous variable.

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