Examine The Bar Graph Below. Which Of These Statements Best Explains The Data In This Graph?

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

The collection, presentation, analysis, organization, and interpretation of observations of data are known as statistics. The statistical data can be represented by various methods such every bit tables, bar graphs, pie charts, histograms, frequency polygons, etc.In this article, let u.s.a. 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
Deviation Between Bar Graph and Histogram
Deviation Betwixt Bar Graph and Pie Chart
Divergence Between Bar Graph and Line Graph
Steps to Describe Bar Graph
Examples
Practice Problem
FAQs

What is Bar Graph?

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

The bars drawn are of uniform width, and the variable quantity is represented on i of the axes. Also, the measure of the variable is depicted on the other axes. The heights or the lengths of the bars announce the value of the variable, and these graphs are also used to compare sure quantities. The frequency distribution tables tin 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 unlike sets of data amid different groups hands.
Information technology shows the relationship using 2 axes, in which the categories on one centrality and the discrete values on the other axis.
The graph shows the major changes in data over fourth dimension.

Bar Graph

Types of Bar Graphs

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

Bar graphs normally show categorical and numeric variables arranged in course intervals. They consist of an axis and a series of labelled horizontal or vertical bars. The bars represent frequencies of distinctive values of a variable or commonly the distinct values themselves. The number of values on the ten-axis of a bar graph or the y-centrality of a column graph is chosen the scale.

The types of bar charts are as follows:

Vertical bar chart
Horizontal bar chart

Even though the graph can be plotted using horizontally or vertically, the most usual blazon of bar graph used is the vertical bar graph. The orientation of the x-axis and y-axis are changed depending on the type of vertical and horizontal bar chart. Autonomously from the vertical and horizontal bar graph, the two unlike types of bar charts are:

Grouped Bar Graph
Stacked Bar Graph

Now, let u.s.a. discuss the four different types of bar graphs.

Vertical Bar Graphs

When the grouped information are represented vertically in a graph or chart with the help of bars, where the bars denote the measure of information, such graphs are called 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 nautical chart with the help of confined, then such graphs are chosen horizontal bar graphs, where the bars prove the measure of data. The data is depicted here along the x-centrality of the graph, and the length of the bars announce the values.

Grouped Bar Graph

The grouped bar graph is also chosen the clustered bar graph, which is used to represent the detached value for more than 1 object that shares the same category. In this blazon of bar chart, the full 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. Hither, a single colour is used to represent the specific series across the set. The grouped bar graph tin can exist represented using both vertical and horizontal bar charts.

Stacked Bar Graph

The stacked bar graph is besides called the blended bar chart, which divides the amass into different parts. In this type of bar graph, each part can be represented using different colours, which helps to hands identify the different categories. The stacked bar nautical 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 properties of a bar graph are as follows:

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

Applications of Bar Graphs

Bar graphs are used to match things between different groups or to trace changes over time. Yet, when trying to guess change over fourth dimension, bar graphs are most suitable when the changes are bigger.

Bar charts possess a discrete domain of divisions and are normally scaled so that all the data tin fit on the graph. When in that location is no regular order of the divisions being matched, bars on the nautical chart may be organized in whatsoever order. Bar charts organized from the highest to the lowest number are chosen Pareto charts.

Advantages and Disadvantages of Bar Chart

Advantages:

Bar graph summarises the large fix of data in simple visual course.
It displays each category of data in the frequency distribution.
It clarifies the trend of information amend than the tabular array.
It helps in estimating the key values at a glance.

Disadvantages:

Sometimes, the bar graph fails to reveal the patterns, cause, furnishings, etc.
It tin can be easily manipulated to yield false information.

Difference Between Bar Graph and Histogram

The bar graph and the histogram look like. But it has an of import difference. The major departure between them is that they plot different types of data. In the bar chart, discrete data is plotted, whereas, in the histogram, information technology plots the continuous data. For instance, if nosotros accept different categories of information like types of dog breeds, types of Television programs, the bar nautical chart is best as information technology compares the things amongst different groups. For example, if we have continuous information similar the weight of the people, the best choice is the histogram.

Difference Between Bar Graph and Pie Chart

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

Difference Between Bar Graph and Line Graph

The major departure betwixt bar graph and line graph are as follows:

The bar graph represents the data using the rectangular bars and the height of the bar represents the value shown in the data. Whereas a line graph helps to testify the information when the series of data are connected using a line.
Agreement the line graph is a niggling scrap confusing as the line graph plots too many lines over the graph. Whereas bar graph helps to prove the relationship between the information quickly.

Important Notes:

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

In the bar graph, there should be an equal spacing between the bars.
It is advisable to use the bar graph if the frequency of the data is very large.
Understand the data that should exist presented on the x-axis and y-axis and the relation between the 2.

How to Draw a Bar Graph?

Let us consider an case, we accept 4 dissimilar types of pets, such as cat, dog, rabbit, and hamster and the respective numbers are 22, 39, five and 9 respectively.

In social club to visually represent the data using the bar graph, we need to follow the steps given below.

Step one: Offset, make up one's mind the title of the bar graph.
Footstep 2: Draw the horizontal centrality and vertical centrality. (For example, Types of Pets)
Step 3: Now, label the horizontal axis.
Stride 4: Write the names on the horizontal axis, such every bit Cat, Dog, Rabbit, Hamster.
Step five: Now, label the vertical axis. (For case, Number of Pets)
Pace 6: Finalise the calibration range for the given data.
Stride 7: Finally, depict the bar graph that should stand for each category of the pet with their corresponding numbers.

Bar Graph Solved Examples

To understand the above types of bar graphs, consider the post-obit examples:

Example 1:

In a firm of 400 employees, the percentage of monthly bacon saved by each employee is given in the post-obit table. Correspond it through a bar graph.

Savings (in percentage)	Number of Employees(Frequency)
20	105
30	199
40	29
l	73
Full	400

Solution:

The given data can be represented as

Bar graph example

This can too be represented using a horizontal bar graph every bit follows:

Horizontal bar graph

Example 2:

A cosmetic company articles iv different shades of lipstick. The sale for six months is shown in the table. Represent it using bar charts.

Month	Sales (in units)
Month	Shade 1	Shade 2	Shade 3	Shade four
January	4500	1600	4400	3245
February	2870	5645	5675	6754
March	3985	8900	9768	7786
Apr	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?

Example three:

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

Month	Temperature
January	-6°C
Feb	-3.five°C
March	-2.7°C
Apr	iv°C
May	6°C
June	12°C
July	15°C
August	eight°C
September	7.9°C
October	6.4°C
November	3.1°C
Dec	-two.5°C<

Solution:

Equally the temperature in the given table has negative values, it is more convenient to stand for such data through a horizontal bar graph.

Bar graph question

Practise Problem

Question:

A schoolhouse conducted a survey to know the favorite sports of the students. The table beneath shows the results of this survey.

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

From this data,

i. Draw a graph representing the sports and the total number of students.

2. Summate the range of the graph.

3. Which sport is the most preferred one?

4. Which two sports are near equally preferred?

5. List the sports in ascending order.

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Oftentimes Asked Questions on Bar Graph

What is meant by a bar graph?

Bar graph (bar chart) is a graph that represents the chiselled data using rectangular bars. The bar graph shows the comparison between detached 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 different groups over fourth dimension. Bar graphs are used to measure the changes over a flow of fourth dimension. When the changes are larger, a bar graph is the best option 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 utilize a vertical bar nautical chart?

The vertical bar graph is the nearly commonly used bar chart, and information technology is best to utilise information technology while graphing the ordinal variables.