Diagrams part 5

1. PROGRAMME B.COM
SUBJECT
QUANTITATIVE TECHNIQUE – I
SEMESTER III
UNIVERSITY VIJAYANAGAR SRI
KRISHNADEVARAYA UNIVERSITY,
BALLARI
SESSION 22

2. RECAP
• Two Dimensional Bar Diagram (Squares, Pie Diagram
and Rectangle Bar Diagram) Problem-01

3. LEARNING OBJECTIVES
• After Studying this unit, the students able to know
how to present data Graphically using Histogram,
Frequency Polygon and Curve, and Pie charts and
working out cumulative frequency

4. LEARNING OUTCOMES
• Students will be able to analyze and interpret with
in the Contexts they are written in Diagrams and to
present data Graphically using Histogram,
Frequency Polygon and Curve, and Pie charts

5. SESSION - 22
• Two Dimensional Bar Diagram (Squares, Pie Diagram
and Rectangle Bar Diagram) Problem-02

6. Two Dimensional Bar Diagrams
• SQUARES
The method of drawing a square diagram is very
simple. One has to take the square root of the values
of various items that are to be shown in the diagrams
and then select a suitable scale to draw the squares.

7. CONTD
QUESTION 01
Construct a Suitable Bar Diagram. From the below
following information
YEAR EXPORT
1 100
2 150
3 300
4 450
5 500
6 575
7 600

8. CONTD
• SOLUTION ;

9. CONTD
• Rectangle Bar Diagram
It is a two dimensional bar diagram. Because, length
and width of the bar is considered for the purpose of
representing the data. A comparative study can be
best conducted by means of rectangles side by side.

10. CONTD
QUESTION . 2
• Total expenditure incurred on various heads of two
schools in an year are given below. Draw a suitable
bar diagram.
EXPENDITURE HEAD AMOUNT IN LAKHS
FAMILY 1 FAMILY 2
HOUSING 100 125
CLOTHING 75 75
RENT 125 200
FOOD 100 200

11. CONTD
SOLUTION;
The component bar diagram is presented in Fig 1
EXPENDITURE
HEAD FAMILY 1 FAMILY 2
RS CUMULATIVE RS CUMULATIVE
HOUSING 100 100 125 125
CLOTHING 75 175 75 200
RENT 125 300 200 400
FOOD 100 400 200 600

12. CONTD
100
75 125
100
100
175
300
400
125
75
200
200
125
200 400
600
HOUSING CLOTHING RENT FOOD
FAMILY 1 RS FAMILY 1 CUMULATIVE FAMILY 2 RS FAMILY 2 CUMULATIVE

13. CONTD
• Pie Diagram
Another two dimensional diagram or circular diagram is
the Pie diagram. As the diagram looks like a pie, it is
given this name. A circle which has 360c is divided into
different sectors. Angles of the sectors, subtending at
the center, are proportional to the magnitudes of the
frequency of the components
Component value
Degree of component = X 360
Total value

14. CONTD
Question 3
Draw a pie diagram of household expenditure of family

15. CONTD

16. CONTD

17. SUMMARY
As we already discussed and learnt today on
Diagrammatic and Graphical Representation as below
• Two Dimensional Bar Diagram (Squares, Pie Diagram
and Rectangle Bar Diagram) Problem-02

18. MCQs
1 . The suitable diagram to represent the data relating to
the monthly expenditure on different items by a family is
(a) Historigram
(b) Histogram
(c) Multiple bar diagram
(d) Pie diagram
2 . Which of the following is not a one-dimensional
diagram:
(a) Simple bar diagram
(b) Multiple bar diagram
(c) Component bar diagram
(d) Pie diagram

19. MCQs
3 . A sector diagram is also called:
(a) Bar diagram
(b) Histogram
(c) Historigram
(d) Pie diagram
4 . A pie diagram is represented by a:
(a) Rectangle
(b) Circle
(c) Triangle
(d) Square

20. MCQs
5 . Which of the following is a two-dimensional diagram:
(a) Sub-divided bar
(b) Percentage component bar chart
(c) Sub-divided rectangles
(d) Multiple bar diagram

21. CONTD
ANSWERS
1. D
2. D
3. D
4. B
5. C

22. REFERENCES
• S.P. Gupta, Sultan Chand and Sons Publications, 2017
• S. C. Gupta, Himalaya Publishing House,
Fundamentals of Statistics, 2018
• R.S.N Pillai and Bagavathi, S.Chand publications, 2010

23. THANK YOU