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Diagrammatic Presentation of Data
The diagrammatic presentation of data gives an immediate understanding of the real situation to be defined by the data in comparison to the tabular presentation of data or textual representations. It translates the highly complex ideas included in numbers into a more concrete and quickly understandable form pretty effectively. Diagrams may be less certain but are much more efficient than tables in displaying the data. There are many kinds of diagrams in general use. Amongst them the significant ones are the following:
(i) Geometric diagram
(ii) Frequency diagram
(iii) Arithmetic line graph
Also check: Meaning and Objective of Tabulation
Basics of Diagrammatic Presentation
Concept of Diagrammatic Presentation
- It is a technique of presenting numeric data through pictograms, cartograms, bar diagrams, and pie diagrams. It is the most attractive and appealing way to represent statistical data. Diagrams help in visual comparison and they have a bird’s eye view.
- Under pictograms, we use pictures to present data. For example, if we have to show the production of cars, we can draw cars. Suppose the production of cars is 40,000, we can show it by a picture having four cars, where 1 car represents 10,000 units.
- Under cartograms, we make use of maps to show the geographical allocation of certain things.
- Bar diagrams are rectangular and placed on the same base. Their heights represent the magnitude/value of the variable. The width of all the bars and the gaps between the two bars are kept the same.
- Pie diagram is a circle that is subdivided or partitioned to show the proportion of various components of the data.
- Out of the given diagrams, only one-dimensional bar diagrams and pie diagrams are there in our scope.
General Guidelines
Title: Every diagram must be given a suitable title which should be small and self-explanatory.
Size: The size of the diagram should be appropriate, i.e., neither too small nor too big.
Paper used: Diagrams are generally prepared on blank paper.
Scale: Under one-dimensional diagrams, especially bar diagrams, the y-axis is more important from the point of view of the decision of scale because we represent magnitude along this axis.
Index: When two or more variables are presented and different types of line/shading patterns are used to distinguish, an index must be given to show their details.
Selection of proper type of diagram: It is very important to select the correct type of diagram to represent data effectively.
Advantages of Diagrammatic Presentation
(1) Diagrams are attractive and impressive: The data presented in the form of diagrams can attract the attention of even a common man.
(2) Easy to remember: (a) Diagrams have a great memorising effect. (b) The picture created in mind by the diagrams last much longer than those created by figures presented through the tabular forms.
(3) Diagrams save time : (a) They present complex mass data in a simplified manner. (b) The data presented in the form of diagrams can be understood by the user very quickly.
(4) Diagrams simplify data: Diagrams are used to represent a huge mass of complex data in a simplified and intelligible form which is easy to understand.
(5) Diagrams are useful in making comparison: It becomes easier to compare two sets of data visually by presenting them through diagrams.
(6) More informative : Diagrams not only depict the characteristics of data but also bring out other hidden facts and relations which are not possible from the classified and tabulated data.
Types of One-Dimensional Diagram
One-dimensional diagram is a diagram in which only the length of the diagram is considered. It can be drawn in the form of a line or various types of bars.
The following are the types of one-dimensional diagram.
(1) Simple bar diagram
Simple bar diagram consists of a group of rectangular bars of equal width for each class or category of data.
(2) Multiple bar diagram
This diagram is used when we have to make a comparison between two or more variables like income and expenditure, import and export for different years, marks obtained in different subjects in different classes, etc.
(3) Subdivided bar diagram
This diagram is constructed by subdividing the bars in the ratio of various components.
(4) Percentage bar diagram
The subdivided bar diagram presented on a percentage basis is known as the percentage bar diagram.
(5) Broken-scale bar diagram
This diagram is used when the value of one observation is very high as compared to the other.
To gain space for the smaller bars of the series, the larger bars may be broken.
The value of each bar is written at the top of the bar.
(6) Deviation bar diagram
Deviation bars are used to represent net changes in the data like net profit, net loss, net exports, net imports, etc.
Meaning of Pie Diagram
A pie diagram is a circle that is divided into sections. The size of each section indicates the magnitude of each component as a part of the whole.
Steps involved in constructing pie diagram
- Convert the given values into percentage form and multiply it with 3.6’ to get the amount of angle for each item.
- Draw a circle and start the diagram at the 12 O‘clock position.
- Take the highest angle first with the protector (D) and mark the lower angles successively.
- Shade different angles differently to show distinction in each item.
Solved Questions
Q.1. Why is a diagrammatic presentation better than tabulation of data?
It makes the data more attractive as compared to tabulation and helps in visual comparison.
Q.2. Why do media persons prefer diagrammatic presentation of data?
Because it has an eye-catching effect and a long-lasting impact upon its readers/viewers.
Q.3. What will be the degree of an angle in the pie diagram if a family spends 50% of its income in food?
(50 ÷ 100) X 360 (Or) 50 x 3.6 = 180’
Q.4. Which bar diagram is used to show two or more characteristics of the data?
Multiple bar diagram
Q.5. Mention the sum of all the angles formed at the centre of a circle.
Q.6. Name a bar diagram where the height of all the bars is the same.
Percentage bar diagram
Q.7. Which diagram can be used to depict various components of a variable?
Subdivided bar diagram
Q.8. What is a multiple bar diagram?
A multiple bar diagram is one that shows more than one characteristic of data.
Q.9. Which bar diagram is used to represent the net changes in data?
Deviation bar diagram
Q.10. What is the other name of the subdivided bar Diagram?
Component bar diagram
The above-mentioned concept is for CBSE Class 11 Statistics for Economics – Diagrammatic Presentation of Data. For solutions and study materials, visit our website or download the app for more information and the best learning experience.
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- Diagrammatic Presentation of Data
Diagrams play an important role in statistical data presentation. Diagrams are nothing but geometrical figures like lines , bars, circles , squares , etc. Diagrammatic data presentation allows us to understand the data in an easier manner.
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Advantages of diagrammatic data presentation.
- Easy to understand – Diagrammatic data presentation makes it easier for a common man to understand the data. Diagrams are usually attractive and impressive and many newspapers and magazines use them frequently to explain certain facts or phenomena . Modern advertising campaigns also use diagrams.
- Simplified Presentation – You can represent large volumes of complex data in a simplified and intelligible form using diagrams.
- Reveals hidden facts – When you classify and tabulate data, some facts are not revealed. Diagrammatic data presentation helps in bringing out these facts and also relations .
- Quick to grasp – Usually, when the data is represented using diagrams, people can grasp it quickly.
- Easy to compare – Diagrams make it easier to compare data.
- Universally accepted – Almost all fields of study like Business , economics , social institutions, administration , etc. use diagrams. Therefore, they have universal acceptability.
Browse more Topics under Descriptive Statistics
- Definition and Characteristics of Statistics
- Stages of Statistical Enquiry
- Importance and Functions of Statistics
- Nature of Statistics – Science or Art?
- Application of Statistics
- Law of Statistics and Distrust of Statistics
- Meaning and Types of Data
- Methods of Collecting Data
- Sample Investigation
- Classification of Data
- Tabulation of Data
- Frequency Distribution of Data
- Graphic Presentation of Data
- Measures of Central Tendency
- Mean Median Mode
- Measures of Dispersion
- Standard Deviation
- Variance Analysis
Limitations of Diagrammatic Data Presentation
You need to exercise caution while drawing inferences from diagrams. Here are some of their limitations:
- Provides vague ideas – While diagrams offer a vague idea about the problem, it is useful only to a common man. An expert, who seeks an exact idea of the problem cannot benefit from them.
- Limited information – Classified and tabulated data provides more information than diagrams.
- Low precision – Diagram offer a low level of precision of values.
- Restricts further data analysis – Diagrams do not allow the user to analyze the data further.
- Portrays limited characteristics – Diagrams tend to portray only a limited number of characteristics. Therefore, it is difficult to understand a large number of characteristics using diagrams.
- A possibility of misuse – Sometimes diagrams are misused to present an illusory picture of the problem.
- Fail to present a meaningful look in certain situations – If the data has various measurements and wide variation, then diagrams do not present a meaningful look.
- Careful usage – If diagrams are drawn on a false baseline, then the user must analyze them carefully.
General Principles of Diagrammatic Presentation of Data
A diagrammatic presentation is a simple and effective method of presenting the information that any statistical data contains. Here are some general principles of diagrammatic presentation which can help you make them a more effective tool of understanding the data:
- Write a suitable title on top which conveys the subject matter in a brief and unambiguous manner. If you want to provide more details about the title, then you can mention them in the footnote below the diagram.
- You must construct a diagram in a manner that immediately impacts the viewer. Ensure that you draw it neatly with an appropriate balance between its length and breadth. Further, make sure that the diagram is neither too large nor too small. You can also use different colors or shades to emphasize different aspects of the problem.
- Draw the diagram accurately using proper scales of measurement. You should never compromise accuracy for attractiveness.
- Select the design of the diagram carefully keeping in view the nature of the data and also the objective of the investigation.
- If you use different shades or colors to depict the different characteristics in the diagram, then ensure that you provide an index explaining them.
- If you are using a secondary source, then ensure that you specify the source of data.
- Try to keep your diagram as simple as possible.
Types of Diagrams
There are many types of diagrams which are used for data presentation. Some popular types of diagrams are explained below:
Line Diagram
In a line diagram, you can represent different values using lines of varying lengths. Further, these lines are either horizontal or vertical. Also, there is a uniform gap between successful lines. You can use this when the number of items is very large. Here is an example:
The income of 10 workers in a particular week was recorded as given below. Represent the data by a line diagram.
The diagram is as follows:
Simple Bar Diagram
In order to draw a simple bar diagram, you construct horizontal or vertical lines who have heights proportional to the value of the item. You choose an arbitrary width of the bar but keep it constant. Also, ensure that the gaps between the bars are constant. This diagram is suitable to represent individual time-series or a spatial series. Here is an example:
Represent the following data using a bar diagram:
Multiple Bar Diagram
You can use a multiple bar diagram or a compound bar diagram when you want to show a comparison between two or more sets of data. You can draw a set of bars side-by-side, without gaps and separate the sets of bars with a constant gap. Further, you must color or shade different bars in a different manner. Here is an example:
Represent the following data on the faculty-wise distribution of students using a multiple bar diagram:
Component or Sub-Divided Bar Diagram
In this diagram, you divide the bar corresponding to each phenomenon into various components. Therefore, the portion that each component occupies denotes its share in the total. You must ensure that the sub-divisions follow the same order and also that you use different colors or shades to distinguish them. You can use this diagram to represent the comparative values of different components of a phenomenon. Here is an example:
The following table gives the value of (A in Crores) of contracts secured from abroad, in respect of Civil Construction, industrial turnkey projects and software consultancy in three financial years. Construct a component bar diagram to denote the share of activity in total export earnings from the three projects.
Circular or Pie Chart
A pie chart consists of a circle in which the radii divide the area into sectors. Further, these sectors are proportional to the values of the component items under investigation. Also, the whole circle represents the entire data under investigation.
Steps to draw a Pie Chart
- Express the different components of the given data in percentages of the whole
- Multiply each percentage component with 3.6 (since the total angle of a circle at the center is 360°)
- Draw a circle
- Divide the circle into different sectors with the central angles of each component
- Shade each sector differently
Use of Pie Chart
The use of pie charts is quite popular as the circle provides a visual concept of the whole. Pie charts are simple to use and hence are one of the most commonly used charts. However, the pie charts are sparingly used only for the following reasons:
- They are the best chart for displaying statistical information when the number of components is not more than 6. In the case of more components, the chart becomes too complex to understand.
- Pie charts are not useful when the values of the components are similar. This is because in the case of similarly sized sectors the viewer can find it difficult to differentiate between the slice sizes.
Here is an example:
Represent the following data, on India’s exports (Rs. in Crores) by regions from April to February 1997.
From the table we have,
Total exports = 32699 + 42516 + 23495 + 5133 = Rs. 103, 843 crores
Europe = \( \frac{32699 × 360}{103843} \) = 113°
Asia = \( \frac{42516 × 360}{103843} \) = 147°
America = \( \frac{23495 × 360}{103843} \) = 82°
Africa = \( \frac{5133 × 360}{103843} \) = 18°
Solved Question
Q1. What are the advantages of diagrammatic data presentation?
Answer: The advantages of diagrammatic data presentation are:
- Diagrams are easy to understand
- You can represent huge volumes of data in a simplified manner
- They reveal hidden facts
- They quick to grasp and easy to compare
- Diagrams have a universal acceptability
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Diagrammatic Presentation Of Data
Introduction.
The diagrammatic representation also helps in having a bird’s eye view or overall view of the differentiation of data. It is a norm to present statistical data in the form of diagrams so that it becomes easier to comprehend and understand them. Therefore, diagrammatic representation is an important tool in statistics.
What is a Diagrammatic Presentation of Data?
Diagrammatic representation refers to a representation of statistical data in the form of diagrams. The diagrams used in representing statistical data are geometrical figures, such as lines, bars, and circles. The intention of using geometrical figures in statistical presentation is to make the study more interesting and easy to understand. Diagrammatic representations are widely used in statistics, economics, and many other fields of study.
Types of Diagrammatic Presentations of Data
Various types of diagrammatic representations of data depend on the dataset and the particular statistical elements in them. Data presentation can be made in different types and forms.
These can be broadly classified into the following one-dimensional types −
Line Diagram
In a line diagram, straight lines are used to indicate various parameters. Here, a line represents the sequence of data associated with the changing of a particular variable.
Properties of Line Diagram −
The Lines are either in vertical or horizontal directions.
There may be uniform scaling but this is not mandatory.
The lines that connect the data points offer the statistical representation of data.
The following is an example of a line diagram that shows profits in Rs crore from 2002 till 2008. Profit in 2002 was Rs 5 Crore while in 2008 it was Rs 24 Crore.
Bar Diagram
Bar diagrams have rectangular shapes of equal width that represent statistical data in a straightforward manner. Bar diagrams are one of the most widely used diagrammatic representations.
Properties of Bar Diagram −
The Bars can be vertical or horizontal in directions.
All bars in a diagram have a uniform width.
All the Bars have a common and same base.
The height or width of the Bar shows the required value.
The following is an example of a Bar Chart that has time on the X axis and profits on the Y axis.
Also known as a "circle chart" , the pie chart divides the circular statistical graphic into sectors or sections to illustrate the numerical data. Each sector in the circle denotes a proportionate part of the whole. Pie-chart works the best at the time when we want to denote the composition of something. In most cases, the pie chart replaces other diagrammatic representations, such as the bar graph, line plots, histograms, etc.
In practice, the various sections in a pie chart are derived according to their ratio to the total area of the circle. Then according to their individual contributions, sections are divided into parts derived from 360 degrees of the circle.
Advantages of Diagrammatic Presentation of Data
Easier to understand.
Pictorial representations are usually easier to understand than statistical text or representation in tabular form. One can easily understand which portion or part has more contribution toward the overall dataset. This helps in understanding the data better.
The creators of diagrams usually keep the simplicity of presentation in mind to offer more information to readers. That is why diagrams are easier to comprehend than texts and tables.
More attractive
Pictorial or diagrammatic representations of datasets are more attractive than normal representations. As colors and various other tools can be incorporated into diagrams, they become more attractive and comprehensible for the readers.
Moreover, as diagrams can be made more interactive with the help of computer graphics, they have become more acceptable and attractive currently.
Simpler presentations
Data can be presented more simply in diagrammatic form. Both extensive unstable data and smaller complex data can be represented by diagrammatic representations more easily. This helps statisticians offer more value to their findings.
Comparison is easier
When two or more data are compared, it is easier to do so in pictorial form. As diagrams clearly show the portion of data consumed, it can be easily understood from the diagrams which part of the data is consuming more area in the diagrams. This can help one to understand the real differences through pictorial comparison.
Universal acceptance
Diagrammatic representation of data is used in many fields of study, such as statistics, science, commerce, economics, etc. So, the diagrams are accepted universally and hence are used everywhere.
Moreover, since there are the same procedures for forming diagrams, the representations mean the same thing to everyone. So, there is nothing to alter when we obtain the diagrams to check the real values. It helps analysts solve problems universally.
Improvement in presentation
Diagrammatic representations improve the overall representation of data to a large extent. As the data is classified into several groups and presented in a systematic manner in diagrams, the whole presentation of data gets improved during the diagrammatic representation.
Moreover, as diagrams can be made more interactive than texts or tables, diagrammatic presentations are one step ahead in presenting the data in a simpler yet recognizable manner.
More organized and classified data
To represent data in diagrams, they must be organized and classified into comprehensive categories. This helps the data to be organized in a given fashion which makes them orderly and creates a sequence. This in turn helps realize diagrammatic data better than text forms.
Relevance Diagrammatic Presentation of Data
Diagrams are a great way of representing data because they are visually attractive and they can make large, complex datasets look simpler. The otherwise heavy data can be simply and easily represented by line and bar diagrams, and pie charts. This makes data organization simpler and neater.
Moreover, as data must be classified before representation, one must organize them according to the norms required. So, diagrammatic representations save lots of time and resources.
Diagrams also have universal acceptance and so can be used to express data in different forms. This provides the analysts and researchers flexibility to present data in any required form.
Diagrams also remove confusion and offer a simpler tactic to present data. As no special skill has to be learned to represent data in diagrams, they can be used by most to show statistical data and results of various types of research and experiments.
Therefore, diagrammatic representation has great relevance that can be used for the benefit of economists, statisticians, marketing analysts, and a lot of other professionals.
The diagrams are a central part of statistics and their importance can be known from the fact that almost all statistical researchers use them in one way or the other. The diagrammatical representations make inferring statistical data much simpler and easier. It is a much easier way to visualize and understand data in simpler forms too.
To represent data in diagrammatic form, only a simple understanding of Mathematics is required. So, no special skills are needed to use diagrams and this makes them very popular tools for the representation of data sets. Learning how to present data in diagrams, therefore, should be a priority for everyone.
Q1. Which is the simplest diagrammatic presentation of data?
Ans. The simplest diagrammatic presentation of data is a line diagram that shows data in terms of straight lines.
Q2. What are the two characteristics of bar diagrams?
Ans. Bar diagrams have uniform width and their base remains the same.
Q3. How are the sections in a pie chart formed?
Ans. In practice, the various sections in a pie chart are derived according to their ratio to the total area of the circle. Then according to their individual contributions, sections are divided into parts derived from 360 degrees of the circle.
For example, if a section requires 25% of the presentation, it will consume degrees on the chart.
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Present Your Data Like a Pro
- Joel Schwartzberg
Demystify the numbers. Your audience will thank you.
While a good presentation has data, data alone doesn’t guarantee a good presentation. It’s all about how that data is presented. The quickest way to confuse your audience is by sharing too many details at once. The only data points you should share are those that significantly support your point — and ideally, one point per chart. To avoid the debacle of sheepishly translating hard-to-see numbers and labels, rehearse your presentation with colleagues sitting as far away as the actual audience would. While you’ve been working with the same chart for weeks or months, your audience will be exposed to it for mere seconds. Give them the best chance of comprehending your data by using simple, clear, and complete language to identify X and Y axes, pie pieces, bars, and other diagrammatic elements. Try to avoid abbreviations that aren’t obvious, and don’t assume labeled components on one slide will be remembered on subsequent slides. Every valuable chart or pie graph has an “Aha!” zone — a number or range of data that reveals something crucial to your point. Make sure you visually highlight the “Aha!” zone, reinforcing the moment by explaining it to your audience.
With so many ways to spin and distort information these days, a presentation needs to do more than simply share great ideas — it needs to support those ideas with credible data. That’s true whether you’re an executive pitching new business clients, a vendor selling her services, or a CEO making a case for change.
- JS Joel Schwartzberg oversees executive communications for a major national nonprofit, is a professional presentation coach, and is the author of Get to the Point! Sharpen Your Message and Make Your Words Matter and The Language of Leadership: How to Engage and Inspire Your Team . You can find him on LinkedIn and X. TheJoelTruth
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Diagrammatic and Graphic Presentation of Data
Diagrammatic and graphic presentation of data means visual representation of the data. It shows a comparison between two or more sets of data and helps in the presentation of highly complex data in its simplest form. Diagrams and graphs are clear and easy to read and understand. In the diagrammatic presentation of data, bar charts, rectangles, sub-divided rectangles, pie charts, or circle diagrams are used. In the graphic presentation of data, graphs like histograms, frequency polygon, frequency curves, cumulative frequency polygon, and graphs of time series are used.
General Rules for Construction of Diagrammatic and Graphic Presentations:
1. Chronic Number: Each outline or chart should have a chronic number. It is important to recognize one from the other.
2. Title: A title should be given to each outline or chart. From the title, one can understand what the graph or diagram is. The title ought to be brief and simple. It is normally positioned at the top.
3. Legitimate size and scale: An outline or chart ought to be of ordinary size and drawn with an appropriate scale. The scale in a chart indicates the size of the unit.
4. Neatness: Outlines should be pretty much as straightforward as could be expected. Further, they should be very perfect and clean. They ought to likewise be dropped to check out.
5. File: Each outline or chart should be joined by a record. This outlines various sorts of lines, shades or tones utilized in the graph.
6. Commentary: Commentaries might be given at the lower part of an outline. It explains specific focuses in the chart.
Merits of Diagrammatic and Graphics Presentation:
The fundamental benefits or merits of a diagrammatic and graphical representation of data are as follows:
1. To simplify the data: Outlines and charts present information in a simple manner that can be perceived by anyone without any problem. Huge volume of data can be easily presented using graphs and diagrams.
2. Appealing presentation: Outlines and charts present complex information and data in an understandable and engaging manner and leave a great visual effect. In this way, the diagrammatic and graphical representation of information effectively draws the attention of users.
3. Helps with comparison of data: With the help of outlines and charts, comparison and examination data between various arrangements of information is possible.
4. Helps in forecasting: The diagrammatic and graphical representation of information has past patterns, which helps in forecasting and making various policies for the future.
5. Saves time and labour: Charts and graphs make the complex data into a simple form, which can be easily understood by anyone without having prior knowledge of the data. It gives ready to use information, and the user can use it accordingly. In this way, it saves a lot of time and labour.
6. Universally acceptable: Graphs and diagrams are used in every field and can be easily understood by anyone. Hence they are universally acceptable.
7. Helps in decision making: Diagrams and graphs give the real data about the past patterns, trends, outcomes, etc., which helps in future preparation.
Demerits of Diagrammatic and Graphics Presentation:
The demerits of diagrammatic and graphics presentation of data are as follows:
1. Handle with care: Drawing, surmising and understanding from graphs and diagrams needs proper insight and care. A person with little knowledge of statistics cannot analyze or use the data properly.
2. Specific information: Graphs and diagrams do not depict true or precise information. They are generally founded on approximations. The information provided is limited and specific.
3. Low precision: Graphs and diagrams can give misleading results, as they are mostly based on approximation of data. Personal judgement is used to study or analyze the data, which can make the information biased. Also, data can easily be manipulated.
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Concept of Diagrammatic Presentation. It is a technique of presenting numeric data through pictograms, cartograms, bar diagrams, and pie diagrams. It is the most attractive and appealing way to represent statistical data. Diagrams help in visual comparison and they have a bird’s eye view.
A diagrammatic presentation is a simple and effective method of presenting the information that any statistical data contains. Here are some general principles of diagrammatic presentation which can help you make them a more effective tool of understanding the data:
One of the most convincing and appealing ways to present statistical results is using diagrammatic presentation. Diagrammatic data presentation transforms the highly abstract ideas contained in figures into a more concrete and easily understandable form.
Diagrammatic representations improve the overall representation of data to a large extent. As the data is classified into several groups and presented in a systematic manner in diagrams, the whole presentation of data gets improved during the diagrammatic representation.
Give them the best chance of comprehending your data by using simple, clear, and complete language to identify X and Y axes, pie pieces, bars, and other diagrammatic elements.
Diagrammatic and graphic presentation of data means visual representation of the data. It shows a comparison between two or more sets of data and helps in the presentation of highly complex data in its simplest form. Diagrams and graphs are clear and easy to read and understand.