Diagrams are an essential operational tool for the purpose of presentation of statistical data. They are objects, mainly geometrical figures such as lines, circles, bars, etc. Statistics elaborated with the help of diagrams make it easier and simpler, thereby enhancing the representation of any type of data.

Representation of data assisted by diagrams to increase the simplicity of the statistics surrounding the concerned data is defined as diagrammatic representation of data. These diagrams are nothing but the use of geometrical figures to improve the overall presentation and offer visual assistance for the reader.

The type of diagram suitable for data presentation solely depends on the particular dataset and its statistical elements. There are multiple types of diagrams used in data presentation. They can be broadly categorised in the following types of one-dimensional diagrams –

Line Diagram

A Line diagram is used to represent a specific data across a varying parameter. A line represents the sequence of data connected together against a particular variable.

Properties of Line Diagram –

The Lines can be used in vertical and horizontal directions.

They may or may not have uniform scaling

The line connecting the data points state the statistical representation of data.

Example: Arjun, Sayak and Mainak started monitoring their time of reporting for duty for a certain week. A Line diagram to represent their observed data on average reporting time for those days would look like –

So, as pert the Line Diagram, it can be easily determined that Arjun reported for work mostly at 9:30 AM while Sayak and Mainak’s most frequent time of entry at work are 10:30 AM and 10:50 AM respectively.

Bar Diagram

Bar Diagram is used mostly for comparison of statistical data. It is one of the most straightforward representation of data with the use of rectangular objects of equal width.

Properties of Bar Diagram –

The Bars can be used in vertical and horizontal directions.

These Bars all have a uniform width.

All the Bars have a common base.

The height of the Bar usually corresponds to the required value.

Example: A dataset comparing the percentile marks obtained by Shreyasi and Monika in Science subjects in the examination can be represented with the help of a Bar diagram as –

From this diagram, we can easily compare the percentile marks obtained by Shreyasi and Monika in the subjects Mathematics, Physics, Chemistry and Computer Science.

Pie Chart

In order to know what a Pie Diagram is, it is advised to brush up the fundamentals of the geometrical theories and formula of a Circle. For the statistical representation of data, the sectors of a circle are used as the data points of a particular dataset. A sector is the area of a circle formed by the several divisions done by the radii of the same circle.

Example: In a recent survey, a dataset was created to figure how many participants of the survey thought that Tenure or Tenor is the correct spelling in the field of Banking. A Pie Chart would present the collected data as –

With the help of this Pie Chart, it can be easily determined the percentage of participants in the survey who chose ‘Tenor’, to be the correct spelling of the word for use in the field of banking, is 25% whereas 45% picked ‘Tenure’ as the correct answer. 20% opted for both to be correct while 10% of them were not sure with their attempt.

There are several advantages in the presentation of data with the various types of diagrams. They are –

Makes it Much Easier to Understand

Presentation of data with the help of diagrams makes easier for everybody to understand, which thereby makes it easier to grasp the statistics behind the data presented. Diagrammatic data presentation is quite common in newspapers, magazines and even in advertising campaigns so that the common mass is able to understand what the data is trying to reveal.

Presentation is Much Simpler

With the help of diagrams, presentation of extreme values – extensive unstable data as well as small complicated data complex can be simplified exponentially.

Comparison Operations are More Interactive

Datasets which require comparison of its elements in between themselves use the application of diagrams for representation. Not only the presentation is attractive, but it is also the ideal of showcasing a comparison in statistics.

Accepted Universally

Every academic and professional field, let it be Economics, Commerce, Science, Engineering, Statistics, etc. make the use of diagrams across the world. Hence, this metric of data presentation is universally accepted.

Improves the Representation of Data as a Whole

Statistics are incomplete if diagrams are tables that are not implemented for the presentation of data. Hence, the use of diagrams helps in the overall statistical concept of data representation.

Students who are looking forward to diving deep into the theories and principles of Diagrammatic representation of data, make sure to visit the official website of Vedantu and join a live online tutoring class!

Difference Between the Diagrammatic and Graphical Presentation of Data

All graphical representations of data can be a diagram, but all diagrams are not a graph. Graphs are represented to a scale, but diagrams are required to be constructed to a scale. Construction of graphs requires the two more axes, but none is a necessity in case of diagrams.

Types of Diagrams in Statistics

The different types of diagrams used in statistics are line diagram, bar diagram, and pie chart. Bar diagrams can further be classified into simple bar diagrams, multiple bar diagrams and component or sub-divided bar diagrams.