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Wednesday 16 November 2022

1.2 b Diagramatic Presentation of Data

 

Diagramatic Representation of Data

Diagrams are advance technique  to present the data. As a layman, one cannot understand the tabulated data easily but with only a single glance at the diagram, one can gets complete picture of data.

Types of Diagrams:

Diagrams can be classified in the following categories:

(i). One-dimensional Diagrams

(ii). Two-dimensional Diagrams

(iii). Three-dimensional Diagrams

(iv). Pictograms

(v). Cartograms

(i). One-dimensional Diagrams:

In this case only we consider length dimension. These diagrams either Bar or Line Diagrams.

Merits:

1. These are very easy to construct

2. These are easy to understand

3. Comparison can be made easily.

A) Line Diagrams: In these diagrams only line is drawn to represent one variable. These lines may be vertical or horizontile. The lines are drawn such that their length is in proportion to the value of the variable or item.

Ex: No of accidents in a city in a year given below.

Month

1

2

3

4

5

6

7

8

9

10

11

12

No. of Accidents

8

12

20

16

10

16

20

14

10

19

16

10

B) Simple Bar Diagram: Like line diagrams these figures are also used where only single dimension i.e. length can present the data. Procedure is almost the same, only the thickness of lines is measured. These can also be drawn either vertically or horizontally. Breadth of these lines or bars should be equal. Similarly distance between these bars should be equal.

Ex: Average Wage Of A Particular Firm Has Given Below. Represent it by Bar Diagram

Farm

A

B

C

D

E

F

Average Wage

345

598

540

305

190

150

 

C). Multiple Bar Diagrams: This diagram is used, when we have to make comparison between more than two variables. The number of variables may be 2, 3 or 4 or more. In case of 2 variables pair of bars is drawn. Similarly, in case of 3 variables, we draw triple bars. They are drawn on the same proportionate basis as in case of simple bars.

Ex: No. of students in Postgraduate classes in a university is below:

 

Science

Humanities

Commerce

2020-21

560

240

220

2021-22

610

280

280

2022-23

820

340

370

 

D). Sub-divided Bar Diagram: More than one variable data through this diagram like multiple bar diagram. In this case we add different variables for a period and draw it on a single bar as shown in the following examples. The components must be kept in same order in each bar. This diagram is more efficient if number of components is less i.e. 3 to 5.

Ex: Production of grains in Andhra Pradesh is as follows. Present the data by a sub-divided diagram.

 

Wheat

Maize

Paddy

2020-21

8000

4000

12000

2021-22

9000

6000

11500

2022-23

8500

6000

13000

E). Percentage Bar Diagram: Like sub-divided bar diagram, in this case also data of one particular period or variable is put on single bar, but in terms of percentages. Components are kept in the same order in each bar for easy comparison.

Ex: Present the given data by percentage bar diagram

 

Arts

Science

Commerce

2020-21

600

400

250

2021-22

550

600

400

2022-23

500

800

450


(ii). Two Dimensional Diagrams

As in single bars it was mentioned that the width of each bar should be equal for a certain variable or items. But in this case not only the length but the width also is taken proportionately in case of rectangles.

A) Rectangles:  Here we have to consider both length and breadth or width of each item is in proportion.

Ex: Present the given data by rectangular diagram

 

Arts

Science

Commerce

Total

2020-21

280

170

150

600

2021-22

310

220

270

800

2022-23

360

300

340

1000

 

Ex: Present the given data by rectangular diagram

Expenditure Items

Family A

Family B

Food

3300

4500

Clothing

1080

1080

Fuel

300

450

Rent

720

900

Education

480

900

Misc

420

720

 

B) Squares: As told earlier, this technique can be used effectively when given items terms are squares, preferably having two zeros (00) after every term. Here we take square root of every item and then divide it by a suitable digit or number so as to get the size reduced to be put into the shape of a square on the given space. It is also, useful technique when difference between the numbers is large.

Ex:  Following is the population of some cities in thousands. Present by a suitable diagram.

City

Population (in '000)

Mumbai

3600

Calcutta

2500

Chennai

1600

Delhi

900

Andhra Pradesh

400

 

C). Circular Diagrams:

As like in squares, the items are squared and differences between the terms is also large then we may represent the data in circles.

Ex:  Following is the population of some cities in thousands. Present by a suitable diagram.

City

Population (in '000)

Mumbai

3600

Calcutta

2500

Chennai

1600

Delhi

900

Andhra Pradesh

400

 

D). Sub-divided Circular Diagrams:

These are also called Pie or Angular diagrams.

 

Ex: Present the following data through pie-chart

Items

Expenditure(In Rs)

Food

5100

Clothing

1200

Education

750

Recreation

500

Misc.

75

Total

7625


1.2 b Diagramatic Presentation of Data

  Diagramatic Representation of Data Diagrams are advance technique   to present the data. As a layman, one cannot understand the tabulate...