Types of Graphs

There are different types of graphs in Mathematics and Statistics which are used to represent data in a pictorial form. Graphs are widely used for data representation in statistics. But we also use graphs to represent mathematical calculations such as in trigonometry. Graphs have usually two axes, i.e., x-axis and y-axis, across the bottom and vertical line. The horizontal line or x-axis lies at the bottom and vertical line or y-axis lies up the side of the graph. Line graphs and cartesian graphs are most commonly used in geometry. Let us learn more here.

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Types of Graphs and Charts

The list of most common graph types are as follows:

  • Statistical Graphs (bar graph, pie graph, line graph, etc.)
  • Exponential Graphs
  • Logarithmic Graphs
  • Trigonometric Graphs
  • Frequency Distribution Graph

All these graphs are used in various places to represent a certain set of data in a concise way. The details of each of these graphs (or charts) are explained below in detail which will not only help to know about these graphs better but will also help to choose the right kind of graph for a particular data set.

Statistical Graphs

A statistical graph or chart is defined as the pictorial representation of statistical data in graphical form. The statistical graphs are used to represent a set of data to make it easier to understand and interpret statistical data. The different graphs that are commonly used in statistics are given below.

Types of Graphs in Statistics
Bar Graphs Line graphs
Pie Graphs Histogram

Exponential Graphs

Exponential graphs are the representation of exponential functions using the table of values and plotting the points on a graph paper. It should be noted that the exponential functions are the inverse of logarithmic functions. In the case of exponential charts, the graph can be an increasing or decreasing one based on the function. An example is given below which will help to understand the concept of graphing exponential function in an easy way.

For example, the graph of y = 3x is an increasing one while the graph of y = 3-x is a decreasing one.

Exponential Graphs
Exponential Graphs-1

Logarithmic Graphs

Logarithmic functions are inverse of exponential functions and the method of plotting them are similar. To plot logarithmic graphs, it is required to make a table of values and then plot the points accordingly on a graph paper. The graph of any log function will be the inverse of an exponential function. An example is given below for better understanding.

For example, the inverse graph of y = 3x will be y = log3 {x) which will be as follows:

Logarithmic Graphs

Trigonometric Graphs

Trigonometry graphs are plotted for the 6 trigonometric functions which include sine function, cosine function, tangent function, cotangent function, cosec function, and sec function. Visit trigonometry graphs to learn the graphs of each of the function in detail along with their maximum and minimum values and solved examples.

Trigonometric Graphs

Frequency Distribution Graph

A frequency distribution graph is used to show the frequency of the outcomes in a particular sample. For frequency distribution graphs, the table of values is made by placing the outcomes in one column and the number of times they appear (i.e. frequency) in the other column. This table is known as the frequency distribution table. There are two commonly used frequency graphs which include:

  • Frequency Polygon
  • Cumulative Frequency Distribution Graphs

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