CAT 2023 » CAT Study Material » Data Interpretation and Logical Reasoning » An Overview on Bar Graph Construction

# An Overview on Bar Graph Construction

An Overview On Bar Graph Construction, bar graph construction,types of bar graph,construction of a bar graph and bar graph properties.

A bar graph is a type of graph that uses rectangular bars to represent data, with the length of each bar proportional to the value it represents. It’s a graphical representation of data with different-height bars. Bar graphs are often used to show business data in real life.

What is Bar Graph?

A bar graph depicts all of the data as rectangular bars with heights proportional to the values they represent. The graph’s bars can be viewed horizontally or vertically. Bar graphs, often known as bar charts, are a visual representation of data that has been classified. It is one of the data management approaches. A bar graph is a handy tool for showing unconnected data that does not need to be displayed in any specific order. The bars show amounts in a variety of categories visually. Bar graphs feature the horizontal and vertical axes, sometimes known as the x and y-axis, as well as the title, labels, and scale range.

## Different Types of Bar Graphs

Bar graphs can be divided into four types:

Vertical Bar Graph

Horizontal Bar Graph

Grouped Bar Graph

Stacked Bar Graph

Let’s take a closer look at each type of bar graph.

Vertical Bar Graphs

Vertical bar graphs are graphs or charts in which the given data is represented vertically in a graph or chart using rectangular bars that show the data measure. On the x-axis, vertical rectangular bars are drawn, and the y-axis indicates the value of the height of the rectangular bars, which represents the quantity of the variables printed on the x-axis.

Horizontal Bar Graphs

The given data is displayed horizontally by rectangular bars that indicate the data measure in horizontal bar graphs. The data’s variables or categories must be written first, and then rectangular bars must be drawn horizontally on the y-axis, with the length of the bars equal to the values of the data’s numerous variables.

Stacked Bar Graph

The stacked bar graph is also known as the composite bar graph. The entire bar has been shattered into a thousand pieces. To make it easier to identify between the several categories, each segment of a bar is represented by a different colour. Labeling is required to distinguish the various sections of the bar. Each rectangular bar represents the full graph in a stacked bar graph, and each segment represents the various components of the entire graph. It can be hung either horizontally or vertically.

## Grouped Bar Graph

A clustered bar graph is another name for a grouped bar graph. A graph that displays the discrete values of two or more categorical data sets. Rectangular bars are grouped by position for levels of one categorical variable, with the secondary category level within each group shown in the same colour.It can be hung either vertically or horizontally.

## How to Construct a Bar Graph?

Steps in construction of bar graphs/column graph:

●Draw two lines perpendicular to each other on a graph, intersecting at 0.

●The x-axis is horizontal, and the y-axis is vertical.

●Choose a standard bar width and space between bars along the horizontal axis, and write the names of the data objects whose values will be marked.

●Choose a suitable scale along the vertical axis to compute the heights of the bars given the input values. (The frequency is measured on the y-axis.)

Calculate the bar heights using the chosen scale and then draw the bars.

The number of youngsters participating in various activities is shown by a bar graph.

.
Bar Graph Properties

## Bar graph questions:

The number of students who passed the CAT exam, the XAT exam, the CET exam, or none of these exams is represented in the graph below. (Presume that no pupils have passed more than one exam.)

The number of students who passed the CAT/XAT/CET examination.

1. Which year had the best MBA admission exam results (in terms of proportion of students passing)?

A. 2000

B. 2001

C. 2002

D. It is impossible to determine

Option B is the correct answer.

Explanation:

Examine the pass percentages for three years: 2000, 2001, and 2002.

= (140 x 100)/170 < (150 x 100)/180 and (150 x 100)/180 > (160 x 100)/200

= 82.35 % 83.33 % and 83.33 % > 80 %.

2. In 2000, what was the percentage of students who passed at least one of three exams?

A)82.4 percent

B)82.8 percent

C)82.35 percent

D)83.3 percent

Option C is the correct answer.

Explanation:

In the year 2000, the total proportion of students who passed at least one of three tests was (140 x 100)/170 = 82.35 percent.

3. What is the percentage increase in student enrollment from 2000 to 2002?

A)30 percent

B)17.64 percent

C)117.6 percent

D)85 percent

Option B is the correct answer.

Explanation:

The total growth in student numbers from 2000 to 2002 was = (30 x 100)/170 = 17.64 percent.

## Conclusion

Bar graphs are a striking image in presentations and reports. They’re popular because, unlike a table of numerical data, they make it much easier for the reader to discover patterns or trends.

Get answers to the most common queries related to the CAT Examination Preparation.

## How do you describe a bar graph?

A bar graph is a graph that employs bars or strips to represent data, quantities, or numbers. Numbers, frequencies, ...Read full