Diagrammatic Representations: The use of diagrams to illustrate statistical data is very essential. The greatest way for representing any numerical data obtained in statistics is through diagrammatic representations. “A picture is worth a thousand words,” according to one famous quote. In comparison to tabular or textual representations, the diagrammatic display of data provides an immediate understanding of the true scenario to be defined by the data.

It efficiently converts the exceedingly complex ideas contained in numbers into a more concrete and readily understandable form. Although diagrams are less certain, they are far more efficient in displaying data than tables. There are numerous types of diagrams in common use. Similarly, the diagrammatic representation of data gives a lot of information regarding the numerical data. Let us learn about diagrammatic representations and their types in detail in this article.

Diagrammatic Representation of Data: Meaning

Representation of any numerical data by using diagrams is known as diagrammatic representation. Diagrammatic data representations give a simple and easy understanding of any numerical data collected as compared with the tabular form of the data or textual form of the data.

One of the famous quotes says that “A picture speaks more than words.” Similarly, to represent the statistical data, the essential tool is the diagrams. Diagrammatic data representations translate the highly complex ideas included in the given numerical data into concrete and pretty effectively in a simple, understandable manner.

Diagrammatic representations use geometrical figures as diagrams to improve the representation of the data. Diagrammatic representations are like visual assistance to the readers.

Basics of Diagrammatic Presentations

Diagrammatic representation of data gives a lot of information regarding numerical data. It is a more attractive and easy way of representing any numerical data in statistics. Diagrammatic representations are like visual assistance to the readers.
Diagrammatic representations use the geometrical figures as diagrams to improve the data representation, such as cartography, pictographs, Pie charts, bar diagrams, etc.

1. In pictographic representation of the data, we use pictures to represent the data. For example: if a company produces \(40,000\) units of cars, then we can show it by only four cars and mentioning each car represents \(10000\) units.
2. In the cartograms, we represent the geographical location of certain things, and we use maps.
3. Bar graphs are represented by rectangle bars. The height of the bars gives the value or frequency of the variable. All rectangular bars should have equal width.
4. In the pie charts, a circle is divided into parts, such that each part shows the proportion of various data.
5. In a line representation of data, we use the line to connect the various portions or parts of the plotted data on the graph.

Learn Everything About Pictographs Here

Advantages of Diagrammatic Presentations

The various advantages of the diagrammatic representations are listed below:

1. The diagrammatic representations of the data are more attractive and pretty impressive compared with the tabular form of the data or textual form of the data.
2. The diagrammatic representations of the data are easy to remember as they use the geometrical figures as the diagrams.
3. The diagrammatic representation of data is easy to understand.
4. Diagrammatic data representations translate the highly complex ideas included in the given numerical data into concrete and pretty effectively in a simple, understandable manner.
5. Diagrammatic representations also help identify hidden facts or relations in the data that are not observed in the tabular form.
6. Diagrammatic representations of the data are a handy tool in the comparison of data.

Types of One-Dimensional Diagrams

In one-dimensional diagrammatic representations of the data, we will consider only the length of the diagram. We have different types of one-dimensional diagrams that are listed below:

• Simple bar diagram
• Multiple bar diagrams
• Subdivided bar diagrams
• Percentage bar diagram
• Deviation bar diagram

Types of Diagrammatic Representations

Diagrammatic representations use the geometrical figures as diagrams to improve the data representation, such as cartographs, pictographs, Pie charts, bar diagrams, etc.

1. Line Diagrams

In the linear diagrammatic representations of the data, we will use the line that connects the points or portions of the various data in the graph by taking two variables on horizontal and vertical axes.
Example:
The below diagram gives the linear representation of the wildlife population of bears, whales, dolphins.

2. Bar Diagrams

In the bar diagrammatic representation of data, the data can be represented by rectangular bars. The height of the bars gives the value or frequency of the variable. All rectangular bars should have equal width. This is one of the best-used tools for the comparison of the data.
Example:
Birthdays of different students at the school in the different months.

3. Histograms

Histograms are also similar to bar diagrams; they use rectangular bars to represent the data. But all the rectangular bars are kept without any gaps.

4. Pie Diagrams

Pie Diagram is a diagrammatic representation of data by using circles and spheres. In the pie diagrams, a circle is divided into parts, such that each part shows the proportion of various data.
Example:
The below pie diagram represents the different modes of transport used by the students.

5. Pictographs

The pictographic representation shows the given data graphically by using images or symbols. The symbol or image is used in the pictographic diagrams describes the frequency of the object in the given set of data. Pictographs provided the information of the given data by using symbols or images.
Example:
The pictograph diagram below shows the mode of transport used by the number of students using the image, and each image represents the value.

Diagrammatic Representation Examples

Q.1. A bus manufacturing company manufactured the following number of buses for the first eight months of the year, which are represented below:

Months of the year	January	February	March	April	May	June	July	August
Number of buses sold	\(600\)	\(800\)	\(1000\)	\(1200\)	\(1400\)	\(1600\)	\(1800\)	\(1800\)

Represent the above-given data in the pictorial diagrams.
Ans: To represent the given data in a pictorial form, use the image or symbol and each image or symbol used to represent the particular number of units.
Consider the image of the bus as shown below, and the symbol or image of each bus shown above numerically equals \(200\) buses sold.

The pictorial representation of the given data by using the key is shown below:

Q.2. The given table represents the marks obtained by \(120\) kids of class IX in a cycle test \(-1\). Draw the more than type ogive  for the given data:

Marks	Above \(0\)	Above \(10\)	Above \(20\)	Above \(30\)	Above \(40\)	Above \(50\)	Above \(60\)	Above \(70\)	Above \(80\)	Above \(90\)
No. of kids	\(120\)	\(118\)	\(112\)	\(104\)	\(84\)	\(54\)	\(32\)	\(14\)	\(6\)	\(2\)

Ans: The linear graph for the given data can be drawn by taking the students’ marks on the horizontal or \(x-\)axis and the number of students on the vertical axis or \(y-\)axis.
Then plot the points as finding the marks and number of students in the graph. Now join the points to obtain the graph.

Q.3. Show the below-given data in the pie diagram for the number of fruits eaten by the students in a class:

Mango	Orange	Plum	Pineapple	Melon
\(90\)	\(60\)	\(30\)	\(60\)	\(60\)

Ans: Total frequency \(300\).

Category	Formula	Degrees
Mango	\(\frac{{90}}{{300}} \times 360\)	\(108^\circ \)
Orange	\(\frac{{60}}{{300}} \times 360\)	\(72^\circ \)
Plum	\(\frac{{30}}{{300}} \times 360\)	\(36^\circ \)
Pineapple	\(\frac{{60}}{{300}} \times 360\)	\(72^\circ \)
Melon	\(\frac{{60}}{{300}} \times 360\)	\(72^\circ \)

Draw a circle with a compass with any radius.
The pie chart is drawn for the above data shown as follows:

Q.4. Chinmayi noted all toys she bought for her children and relatives as shown in the below tabular form:

Motorbikes	Dolls	Ducks	Cars
\(6\)	\(4\)	\(3\)	\(4\)

Represent the above data in the diagrammatic representations using the pictographs.
Ans: To represent the given data in diagrammatic representation using the pictographs below: First, consider the image or symbol representing the particular object Chinmayi bought. Now, represent the data by using the image or symbol chosen.

Q.5. The number of children of five different batches of an educational institute is given below. Represent the given data by using the bar graph.

Batches	Batch 1	Batch 2	Batch 3	Batch 4	Batch 5
Number of Children	\(120\)	\(80\)	\(95\)	\(100\)	\(60\)

Ans: To represent the above data, consider the values of batches on \(x-\)axis and the number of children on the \(y-\)axis.

The above diagram shows the bar diagram of the given data.

Summary

In this article, we have studied the definitions of the diagrammatic representations of the data. We also studied the advantages and basics of diagrammatic representations.
This article gives the types of diagrammatic representations used along with the constructions. This article studied the solved examples that help us to understand and the construction of diagrammatic representations easily.

FAQs on Diagrammatic and Graphical Representation of Data

The answers to the most frequently asked questions on Diagrammatic and Graphical Representation of Data are provided here:

Q.1. What is a diagrammatic representation of data?
Ans: Representation of any numerical data by using diagrams is known as diagrammatic representation.

Q.2. What are the advantages of diagrammatic representations?
Ans: Some of the advantages of the diagrammatic representations are listed below:
1. These are more attractive and pretty impressive.
2. These are easy to remember.
3. These are easy to construct and easy to understand.
4. This gives the complex data in the simplest form.
5. These give more information.

Q.3. What is the diagrammatic representation of the problem-solving process?
Ans: The diagrammatic representation of problem-solving are:
1. Pictographs
2. Pie charts
3. Bar graphs
4. Histograms
5. Linear diagrams

Q.4. Why is the diagrammatic representation of the data better than the tabulation of the data?
Ans: Diagrammatic data representations give a simple and easy understanding of any numerical data collected compared with the tabular form of the data or textual form of the data.

Q.5. What is a one-dimensional diagrammatic representation of data?
Ans: The one-dimensional diagrammatic representation of data is:
1. Line diagrams
2. Bar diagrams