B. Com. I Practical No. 3 :Diagrammatic representation of data by using Pie Diagram and Bar Diagrams.
We have observed the classification and tabulation method. We use this method to take a lot of information and make it fit into a small table. The reason we do this is to make the information more organized and easier to understand.
Tabulation helps us arrange data neatly so that it's not messy and confusing. tabulation is a way to make big files of information look neat and tidy in a table. but better and beautiful way to represent data using diagrams and graphs.
the diagram and graph have some advantages because that used to visualise the data. that helps to understand and give information easily to any common man or any one, following are the some advantages of diagram and graph.
I. Advantages
i. Data Representation: Diagrams and graphs are excellent for presenting data visually, making trends, comparisons, and statistical information easier to understand.
ii. Simplification: Diagrams take complex ideas and simplify them into visual representations that are easier to grasp. the both diagrams and graphs are so simple that even an ordinary man also will understand properly.
iii. Clarity: Visualizing information through diagrams can make it clearer and more understandable. Diagrams show relationships, connections, and patterns that might be hard to explain with words alone.
iv. Memory Aid: Visuals are often easier to remember than written or spoken words. hence diagram and graph are remember quickly. they remember longer.
v. Graphs help in analysis: using graph the data can be analysed with minimum calculations. from the graph we can find median, mode, quartiles etc.
II. Guidelines for drawing diagrams.
i. Title: For each chart give clear and concise title, the title gives exact idea about the diagram or chart.
ii. Simplicity: The diagrams should be simple, and that are understand anyone. create each chart must be simple to understand.
iii. Scale: for diagram like bar diagram choose suitable scale. e.g. the scale must be multiple of 5 or 10. i.e. 5, 10, 15, 20. .....or 10, 20, 30, 40,.........etc.
iv. Attractive: The chart should be clean and attractive.
Types of Diagram.
i. One- Dimensional Diagram - Bar Diagram
ii. Two- Dimensional Diagram - Pie -chart
i. Bar Diagram:
the bar diagram is the most common type of diagram, and it is simple diagram. In bar diagram the variable represented by thick bars with uniform width. and the height of the bar is proportional to the value of that variable. the bars are separated by uniform distance. means that the bar are differ by only height. bars are draw vertically as well as horizontally. but vertical bars are more attractive and vertical bar are popular. this bar diagrams are easily understood to every one.
In a Simple bar diagram we represent only one
variable. e.g. to use bar diagram representing the class-wise student strength:
Class |
Student Strength |
Class 1 |
27 |
Class 2 |
34 |
Class 3 |
25 |
Class 4 |
45 |
Class 5 |
26 |
bar diagram is
for drawing bar diagram simply put or select the value in below
Enter Value Tab to get bar diagram, this is used to check your bar diagram is correct or not.
2. Pie-Diagram:
Pie-Diagram is a circular chart that can be used to
represent data as slice of a Pie. When we are interested to represent more that
three or four variable the bar-diagram is more complex and it doesn’t give
proper visualization of data to understand. That case we use Pie-chart is a
circle that divided into sections or slices. And the area on each section is
proportional to the size or the value of the variable.
For constructing the Pie-Chart the circle is divided
into section is proportional to the
angle at the center of circle. We draw a angle at the center that proportional to
the value of variable or data. The angle is calculated as
e.g. to Draw a Pie-Diagram to represent the
following data. For Family expenditure in percentage.
Items |
Family expenditure % |
Cloths |
27 |
Food |
35 |
Rent |
18 |
Other |
20 |
First we find the angles for Items.
Here total expenditure of family is = 100
the pie-chart is
Example2: Draw a Pie-Diagram to represent the
following data. Data of year wise products of certain company.
Year |
Products |
1998 |
15 |
1999 |
78 |
2000 |
89 |
2001 |
125 |
2002 |
87 |
First we find the angles for each year.
Here total product is 15+78+89+125+87 = 394
the Pie-Chart is
Shikshan Prasarak Santha’s
PADMABHUSHAN
VASANTRAODADA PATIL MAHAVIDHYALAYA
KAVATHE
MAHANKAL
DEPARTMENT
OF STATISTICS
B.
Com. I: Practical - I
Expt. No. 3
Date: / / 2024
Title: Diagrammatic representation of data
by using Pie Diagram and Bar Diagrams.
Q.1. Draw a pie diagram for
the following expenditure of some families in a year.
Items |
Food |
Cloths |
Rent |
Medical care |
Other |
Expenditure (RS) |
945 |
325 |
520 |
210 |
400 |
Q.2. Draw a pie diagram for the following data.
Item |
Raw Material |
labour |
Supervisor |
office |
Other |
Expenditure (%) |
30 |
20 |
10 |
20 |
20 |
Q.3. Following table gives the Birth rates per thousand of different
countries.
Country |
India |
Germany |
U.K. |
China |
Sweden |
Birth Rate |
34 |
17 |
20 |
40 |
30 |
Represent the above data by a Simple bar
diagram.
Q.4 The following table gives
data related to production of two items A and B in a factory.
Year |
2000 |
2001 |
2002 |
2003 |
2004 |
Production of A |
200 |
210 |
170 |
180 |
210 |
Production of B |
150 |
170 |
150 |
160 |
180 |
Represent the data by Sub-divided bar
diagram.
Q.5. Draw a suitable diagram to
represent the following data.
Occupation |
India |
U.S.A |
U.K. |
Agriculture |
71 |
13 |
5 |
Services |
15 |
46 |
55 |
Other |
14 |
41 |
40 |
Q.6. The below table gives data relating to import and export. Represent
a data by a Multiple bar diagram.
Year |
Export(RS) |
Import (RS) |
1991 |
350 |
250 |
1992 |
320 |
300 |
1993 |
310 |
240 |
1994 |
300 |
210 |
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