There are different types of graphs in mathematics and statistics which are used to represent data in a pictorial form. Among the various types of charts or graphs, the most common and widely used ones are explained below.
Types of Graphs and Charts
The list of most commonly used 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 specific set of data concisely. 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 information. The different types of 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 type of curve based on the function. An example is given below, which will help to understand the concept of graphing exponential function easily.
For example, the graph of y = 3^{x} is an increasing one while the graph of y = 3^{-x} is a decreasing one.
Graph of y = 3^{x}:
Graph of y = 3^{-x}
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 = 3^{x} will be y = log_{3 }{x} which will be as follows:
Trigonometric Graphs
Trigonometry graphs are plotted below 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.
Also Check: Inverse 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 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 from which the cumulative frequency graph or ogive can be plotted.
There are two commonly used frequency graphs which include:
More Topics Related to Graphs:
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