Clip Art Stick Figure Asking Question Bar Graph Clipart X Y Axis

Bar graphs are the pictorial representation of data (more often than not grouped), in the form of vertical or horizontal rectangular bars, where the length of bars are proportional to the measure out of data. They are also known equally bar charts. Bar graphs are one of the means of information handling in statistics.

The collection, presentation, assay, organization, and interpretation of observations of data are known as statistics. The statistical data tin be represented by various methods such as tables, bar graphs, pie charts, histograms, frequency polygons, etc.In this article, permit usa discuss what is a bar chart, different types of bar graphs, uses, and solved examples.

Table of Contents:
  • Definition
  • Types of Bar Graph
    • Vertical Bar Graph
    • Horizontal Bar Graph
    • Grouped Bar Graph
    • Stacked Bar Graph
  • Properties
  • Uses
  • Advantages and Disadvantages
  • Departure Betwixt Bar Graph and Histogram
  • Difference Betwixt Bar Graph and Pie Nautical chart
  • Difference Between Bar Graph and Line Graph
  • Steps to Draw Bar Graph
  • Examples
  • Practice Problem
  • FAQs

What is Bar Graph?

The pictorial representation of grouped data, in the form of vertical or horizontal rectangular bars, where the lengths of the confined are equivalent to the measure out of data, are known as bar graphs or bar charts.

The bars fatigued are of uniform width, and the variable quantity is represented on one of the axes. Also, the mensurate of the variable is depicted on the other axes. The heights or the lengths of the bars denote the value of the variable, and these graphs are also used to compare certain quantities. The frequency distribution tables can exist easily represented using bar charts which simplify the calculations and understanding of data.

The three major attributes of bar graphs are:

  • The bar graph helps to compare the different sets of data among different groups easily.
  • It shows the relationship using 2 axes, in which the categories on 1 axis and the detached values on the other centrality.
  • The graph shows the major changes in information over time.

Bar Graph

Types of Bar Graphs

The bar graphs can be vertical or horizontal. The primary feature of any bar graph is its length or acme. If the length of the bar graph is more than, then the values are greater than whatsoever given data.

Bar graphs normally bear witness categorical and numeric variables arranged in class intervals. They consist of an axis and a series of labelled horizontal or vertical confined. The bars represent frequencies of distinctive values of a variable or usually the distinct values themselves. The number of values on the x-axis of a bar graph or the y-axis of a cavalcade graph is called the calibration.

The types of bar charts are every bit follows:

  1. Vertical bar chart
  2. Horizontal bar nautical chart

Even though the graph tin can exist plotted using horizontally or vertically, the nigh usual type of bar graph used is the vertical bar graph. The orientation of the x-axis and y-axis are changed depending on the blazon of vertical and horizontal bar nautical chart. Apart from the vertical and horizontal bar graph, the 2 different types of bar charts are:

  • Grouped Bar Graph
  • Stacked Bar Graph

Now, let the states discuss the four different types of bar graphs.

Vertical Bar Graphs

When the grouped data are represented vertically in a graph or chart with the help of bars, where the confined denote the measure of data, such graphs are chosen vertical bar graphs. The information is represented along the y-axis of the graph, and the height of the bars shows the values.

Horizontal Bar Graphs

When the grouped information are represented horizontally in a chart with the assistance of bars, and so such graphs are chosen horizontal bar graphs, where the bars show the mensurate of data. The data is depicted hither along the ten-axis of the graph, and the length of the bars announce the values.

Grouped Bar Graph

The grouped bar graph is also called the clustered bar graph, which is used to represent the discrete value for more 1 object that shares the same category. In this type of bar chart, the total number of instances are combined into a single bar. In other words, a grouped bar graph is a type of bar graph in which different sets of data items are compared. Here, a single colour is used to represent the specific series across the fix. The grouped bar graph can be represented using both vertical and horizontal bar charts.

Stacked Bar Graph

The stacked bar graph is also called the composite bar chart, which divides the amass into unlike parts. In this type of bar graph, each office tin can exist represented using different colours, which helps to easily identify the dissimilar categories. The stacked bar chart requires specific labelling to show the different parts of the bar. In a stacked bar graph, each bar represents the whole and each segment represents the different parts of the whole.

Properties of Bar Graph

Some of the important backdrop of a bar graph are every bit follows:

  • All the bars should have a common base.
  • Each column in the bar graph should have equal width.
  • The meridian of the bar should represent to the data value.
  • The distance between each bar should be the same.

Applications of Bar Graphs

Bar graphs are used to friction match things betwixt dissimilar groups or to trace changes over fourth dimension. Yet, when trying to estimate change over time, bar graphs are most suitable when the changes are bigger.

Bar charts possess a discrete domain of divisions and are usually scaled so that all the data can fit on the graph. When there is no regular society of the divisions existence matched, bars on the chart may exist organized in whatsoever club. Bar charts organized from the highest to the everyman number are called Pareto charts.

Advantages and Disadvantages of Bar Chart

Advantages:

  • Bar graph summarises the large prepare of information in uncomplicated visual grade.
  • It displays each category of information in the frequency distribution.
  • It clarifies the trend of data better than the table.
  • Information technology helps in estimating the key values at a glance.

Disadvantages:

  • Sometimes, the bar graph fails to reveal the patterns, crusade, effects, etc.
  • It can exist easily manipulated to yield fake information.

Difference Between Bar Graph and Histogram

The bar graph and the histogram wait similar. But it has an of import difference. The major difference between them is that they plot different types of data. In the bar nautical chart, detached information is plotted, whereas, in the histogram, it plots the continuous information. For instance, if we take different categories of data like types of domestic dog breeds, types of TV programs, the bar chart is all-time as information technology compares the things among different groups. For example, if nosotros have continuous information similar the weight of the people, the best choice is the histogram.

Difference Betwixt Bar Graph and Pie Chart

A pie nautical chart is i of the types of graphical representation. The pie chart is a circular chart and is divided into parts. Each part represents the fraction of a whole. Whereas, bar graph represents the detached information and compares one data with the other data.

Difference Between Bar Graph and Line Graph

The major difference between bar graph and line graph are every bit follows:

  • The bar graph represents the data using the rectangular bars and the meridian of the bar represents the value shown in the data. Whereas a line graph helps to evidence the information when the series of information are connected using a line.
  • Understanding the line graph is a trivial chip disruptive as the line graph plots too many lines over the graph. Whereas bar graph helps to show the relationship between the information quickly.

Important Notes:

Some of the of import notes related to the bar graph are as follows:

  • In the bar graph, there should be an equal spacing between the bars.
  • It is appropriate to use the bar graph if the frequency of the information is very big.
  • Understand the data that should exist presented on the x-axis and y-axis and the relation between the two.

How to Depict a Bar Graph?

Permit us consider an example, we take four dissimilar types of pets, such as cat, canis familiaris, rabbit, and hamster and the corresponding numbers are 22, 39, 5 and ix respectively.

In order to visually represent the information using the bar graph, nosotros need to follow the steps given below.

  • Step 1: First, decide the title of the bar graph.
  • Stride two: Draw the horizontal axis and vertical axis. (For example, Types of Pets)
  • Step three: Now, label the horizontal axis.
  • Step iv: Write the names on the horizontal axis, such equally Cat, Canis familiaris, Rabbit, Hamster.
  • Footstep five: Now, characterization the vertical axis. (For instance, Number of Pets)
  • Stride 6: Finalise the scale range for the given information.
  • Step 7: Finally, draw the bar graph that should represent each category of the pet with their respective numbers.

Bar Graph Solved Examples

To understand the above types of bar graphs, consider the following examples:

Example 1:

In a house of 400 employees, the percentage of monthly salary saved by each employee is given in the following table. Represent information technology through a bar graph.

Savings (in percentage) Number of Employees(Frequency)
20 105
xxx 199
40 29
fifty 73
Total 400

Solution:

The given data can exist represented every bit

Bar graph example

This can besides be represented using a horizontal bar graph as follows:

Horizontal bar graph

Instance ii:

A cosmetic company manufactures four different shades of lipstick. The auction for half-dozen months is shown in the tabular array. Stand for it using bar charts.

Calendar month Sales (in units)
Shade i Shade 2 Shade 3 Shade 4
January 4500 1600 4400 3245
Feb 2870 5645 5675 6754
March 3985 8900 9768 7786
April 6855 8976 9008 8965
May 3200 5678 5643 7865
June 3456 4555 2233 6547

Solution:

The graph given below depicts the following data

What is bar graph?

Instance 3:

The variation of temperature in a region during a year is given every bit follows. Depict it through the graph (bar).

Month Temperature
January -vi°C
Feb -3.5°C
March -2.7°C
April 4°C
May 6°C
June 12°C
July 15°C
August 8°C
September 7.9°C
October 6.4°C
Nov 3.i°C
December -ii.5°C<

Solution:

As the temperature in the given table has negative values, information technology is more convenient to represent such data through a horizontal bar graph.

Bar graph question

Exercise Problem

Question:

A schoolhouse conducted a survey to know the favorite sports of the students. The tabular array below shows the results of this survey.

Name of the Sport Total Number of Students
Cricket 45
Football game 53
Basketball 99
Volleyball 44
Chess 66
Table Tennis 22
Badminton 37

From this information,

1. Describe a graph representing the sports and the total number of students.

2. Calculate the range of the graph.

3. Which sport is the well-nigh preferred one?

4. Which two sports are nigh as preferred?

5. List the sports in ascending order.

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Often Asked Questions on Bar Graph

What is meant by a bar graph?

Bar graph (bar nautical chart) is a graph that represents the chiselled data using rectangular bars. The bar graph shows the comparison between discrete categories.

What are the different types of bar graphs?

The dissimilar types of bar graphs are:
Vertical bar graph
Horizontal bar graph
Grouped bar graph
Stacked bar graph

When is a bar graph used?

The bar graph is used to compare the items between unlike groups over fourth dimension. Bar graphs are used to measure out the changes over a period of fourth dimension. When the changes are larger, a bar graph is the best selection to represent the data.

When to use a horizontal bar chart?

The horizontal bar graph is the best choice while graphing the nominal variables.

When to use a vertical bar nautical chart?

The vertical bar graph is the most commonly used bar chart, and it is best to utilize it while graphing the ordinal variables.

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Source: https://byjus.com/maths/bar-graph/

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