Page 73 - DCOM203_DMGT204_QUANTITATIVE_TECHNIQUES_I

Quantitative Techniques – I

Notes Self Assessment

State whether the following statements are true or false:
9. One-dimensional diagrams are also known as bar diagrams.
10. In case of one-dimensional diagrams, the magnitude of the characteristics is shown by the
length or height of the bar.
11. Sub-divided bar diagram is useful when it is desired to represent the comparative values
of different components of a phenomenon.
12. Duo-Directional Bar Diagram is used to show an aggregate of two components.
13. Pyramid Diagram is used to represent the distribution of population according to sex, age,
occupation, education, etc.

4.3 Circular or Pie Diagrams

In the above example, one can also draw circles in place of squares. The radius of the circle is
A
given by r = , where A denotes area of the circle whose value is given by the value of an
item.
Year : 1994 1998 2002 2006 2010
India©sExports (X)
: 1823 4970 6591 9981 20295
(in crores)
Radius( X+ ) : 24.1 39.8 45.8 56.4 80.4

Pie Diagram

1994 1998 2002 2006 2010
In order to show proportions of various components, a circle can also be partitioned into sections
in a similar manner as in component bar diagrams. Since there are 360º at the centre of a circle,
these are divided in proportions to the magnitude of values of different items. The diagram,
thus obtained is known as Angular Sector Diagram or more popularly as Pie Diagram. The
construction of a pie diagram is explained by the following example:

Example: Show the following data of expenditure of an average working class family by
a suitable diagram.

Item of Expenditure Percent of Total Expenditure
(i) Food 65
(ii) Clothing 10
(iii) Housing 12
(iv) Fuel and Lighting 5
(v) Miscellaneous 8

68 LOVELY PROFESSIONAL UNIVERSITY