In this article, we will learn one of the data represented in statistics that is a line graph. Statistics deals with the study of collecting data, analyzing the data, interpreting, organizing, and presenting the data. In statistics to represent the information or data, we use bar graphs, piecharts, tables, graphs, picturing, and so on.

Let us learn line graph definition, types of the line graph, examples, how to construct a line graph, and so on. A line graph is a graph used to represent the data in the form of a straight line or curve line of any two quantities of indirect or direct variation.

A line graph is a unique graph that is commonly used in statistics. It represents the change during a quantity with relevance to another quantity.

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### Line Graph – Definition

A line graph may be a kind of chart accustomed show the information that changes over time. We plotline graphs by using several points connected by straight lines. A line graph also called a line chart or line plot. The line comprises two-axis one is the x-axis and another one is the y-axis.

- The x-axis is known as the Horizontal axis.
- The y-axis is known as the Vertical axis.

A line graph or line chart is a chart that shows a line joining several points or a line that shows the relation between the points. The line graph represents quantitative data between two changing variables with a line or curve line that joins a series of successive data points.

### Types of Line Graph

Line graphs are 3 different types namely,

- Simple Line graph.
- Multiple Line graph.
- Compound Line graph.

**Simple Line Graph:** In a simple line graph only one single line is plotted on the graph, it represents the variations of two quantities.

**Multiple Line Graph: **In multiple line graph consists of more than one single line is plotted on the same set of axes, it represents the same data variations at two different cases.

A multiple line graph is also known as a double line graph. It can effectively compare similar items over an equivalent period of your time.

**Compound Line Graph:** In this, the information can be subdivided into two or more types of data. This type of line graph is termed a compound line graph. Lines are drawn to indicate the part of a complete. The top line shows the overall and therefore the line below shows part of the whole. The distance between every two lines shows the scale of every part.

Based on the nature of lines with respect to coordinate axes, three different types of line graphs are there,

**Vertical Line Graph:** In this line graph, representing the line variation is parallel to the y-axis and perpendicular to the x-axis. It means x-axis data is constant and y-axis data is varying (not constant).

**Horizontal Line Graph: **In this graph, representing the line variation is parallel to the x-axis and perpendicular to the y-axis. This line graph represents x-axis data is changed and the y-axis data is not changing (constant).

**Straight Line Graph: **In this line graph, the line variation of any two quantities is represented by a straight line. The straight-line graph also known as linear graphs indicates the line variation with curved lines called a curvilinear graph.

A linear function has the form,

y = mx + c, where m and c are constants.

### Parts of Line Graph

Several items are associated with the parts of a line graph. A few of the important terms that are associated with line graph are mentioned below,

**Title:** Every line has a title. The title explains what graph is to be plotted and it gives a brief idea of the quantities being represented.

**Labels:** The line graph has a label on both the side and the bottom that indicates the type of data is represented in the graph. The x-axis describes the data points on the line and the y-axis describes the numeric value for each point on the line.

**Bars:** Bars are used to measure the data number.

**Data values:** Data values are the particular numbers for every piece of information.

**Scale:** The scale is the numbers that explain the units utilized on the line graph.

**Origin:** The purpose of intersection on both axes has named the origin. It will be represented by the letter ‘O’. At this point, both the values are variable quantities are zero.

**Coordinate Axes:** The vertical line and horizontal line that are intersecting each other and mutually perpendicular to each other. These axes are generally labeled as xx and yy. The two quantities are proportional to each other and represent a certain value on the coordinate axes.

### How to Construct a Line Graph? | Steps to Make a Line Graph

The following are the steps to construct a line graph using a given data. If we have data tables, then we draw line graphs using tables. Line graphs offer a wonderful visual format of the result data collected over time. To plot the line graph to follow the below steps,

Step 1: Choose a suitable scale using data from the data tables.

Step 2: Draw or construct the horizontal axes and vertical axes which are important in the line graph, and label the scale of vertical axes and horizontal axes.

Step 3: Based on the corresponding values place the points on the graph.

Step 4: Join the points plotted on the graph with the line segment using the freehand method.

### Multiple Line Graph or Double Line Graph

A double line graph may be a line graph with quite one or two lines. A graph that compares two different data over a period of time. A double line graph shows how to change the period of time. The double line graph shows two line graphs within one chart. Double line graphs are used to compare trends and patterns between two different information.

The following are the steps to plot a double line graph or multiple lines graph,

Step 1: First choose the appropriate scale using the data from the data tables.

Step 2: Draw or construct the horizontal axes and vertical axes and label the scale of vertical axes and horizontal axes.

Step 3: Based on the given data, plot the points on the graph for both lines.

Step 4: Join the points plotted on the graph with the line segment separately of both lines using the freehand method.

Step 5: Finally draw two line graphs within one chart.

### Line Graph Examples with Explanation

**Example 1:**

The temperature of a city from 5 am to 8 pm on a day was recorded in the form of a line graph as shown below. Observe the graph and answer the following questions.

(i) At what time the temperature was 40^{0} F?

(ii) What was the maximum recorded temperature?

**Solution: **

Given the temperature of a city from 5 am to 8 pm in the form of the line graph.

Based on given temperature data we can calculate the given questions,

(i) Given the temperature data in the form of the line graph.

Now we can find the temperature of 40 degrees F timings.

Based on the given line graph, the temperature of 40^{0} F timing is,

The temperature was 40^{0} F at 5 am and from 5 pm to 8 pm.

(ii) Given the data is in the form of the line graph.

Now we find the maximum temperature on the given line graph.

Based on the given data the maximum recorded temperature is,

Therefore, the maximum recorded temperature was 60^{0} F.

### Frequently Asked Question’s on Line Graph

**1. What are the five types of Graphs?**

The five different graphs are Line graphs, Bar graphs, Histograms, Pie charts, Pictorial graphs, and frequency polygons. Graphs are the best way to visualize data and display the data in statistics.

**2. How do you explain the line graph?**

Line graphs are drawn the independent data on the horizontal axes or x-axis and the dependent data on vertical axes or y-axis. Line graphs are accustomed to tracking changes over a brief period of your time and long periods of your time.

**3. What is the use of a Line graph?**

The important use of a line graph is to track the changes over a short period of time and a long period of time. It is also wont to compare the changes over an equivalent period of your time for various groups. Line graphs always better to use the line than the bar graphs, whenever small changes exist. They use the road graph plotting the points over the horizontal and therefore the vertical axis. It usually represents the period of time of the information.

4. How do you draw a line graph?

The following are the steps to draw a line graph,

- Choose a suitable scale using data from the data tables.
- Draw or construct the horizontal axes and vertical axes which are important in the line graph, and label the scale of vertical axes and horizontal axes.
- Based on the corresponding values place the points on the graph.
- Join the points plotted on the graph with the line segment using the freehand method.

**5. What is the advantage of a Line Graph?**

A Line Graph is a way to summarize how two different types of information are related and how they vary depending on one another.