Which description is represented by a discrete graph

General
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which description is represented by a discrete graph

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Which description is represented by a discrete graph?

Answer: A discrete graph is typically used to represent situations where only specific, separate, and individual values are possible, rather than a continuous range of values. Below are some descriptions that are represented by a discrete graph:

**1. Number of Students in a Class:

  • This can be represented by a discrete graph because the number of students can only be whole numbers (e.g., 25 students, 30 students), and each point on the graph represents a specific, countable value.

**2. Survey Results:

  • When collecting data from a survey, such as the number of people who prefer a specific type of product or the number of yes/no answers, a discrete graph can effectively represent this information. Each point on the graph can show the count or frequency of a particular response.

**3. Test Scores:

  • The marks obtained by students in a test, if graphed individually for each student, is discrete as each student has their own score. Examples include a bar graph showing the number of students who scored each possible grade.

**4. Days of the Week:

  • If you are representing certain events or amounts that occur on specific days of the week, like sales data for each day, the graph is discrete. Each point on the graph corresponds to a particular day.

**5. Counting Specific Objects:

  • For example, the number of cars passing through a toll gate in specific hours, or the number of books sold per day - these are countable and thus can be represented by a discrete graph.

Characteristics of Discrete Graphs:

  • Distinct Points: The graph consists of distinct or isolated points. Each point signifies a specific value or count.
  • Non-continuous: Discrete graphs do not connect the points with lines, as there are no intermediate values between points.
  • Specific Data: Used to represent specific, often integer-based, data values.

Example:

Imagine you conducted a survey at your school asking how many students prefer online learning versus in-person learning. If you plot this data on a graph, where the x-axis represents the learning preference (online or in-person) and the y-axis represents the number of students, you will get a discrete graph showing specific counts of students for each category.

In summary, if the data you are dealing with represents countable items, specific events, or categories that do not contain intermediate values, they are best represented by discrete graphs.