graphical representation 3

1. PROGRAMME B.COM
SUBJECT
QUANTITATIVE TECHNIQUE – I
SEMESTER III
UNIVERSITY VIJAYANAGAR SRI
KRISHNADEVARAYA UNIVERSITY,
BALLARI
SESSION 25

2. RECAP
• Construction of Graphs ( Histogram, Frequency
Polygon and Curve) Problems--------------- 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 - 25
• Construction of Graphs ( Histogram, Frequency
Polygon and Curve) Problems--------------- 02

6. CONTD
PROBLEM on Histogram
Draw the histogram for the 50 students in a class whose
heights (in cms) are given below.

7. CONTD
For drawing a histogram, the frequency distribution
should be continuous. If it is not continuous, then make
it continuous as follows.

8. CONTD

9. CONTD
• FREQUENCY POLYGON
PROBLEM 02. A firm reported that its Net Worth in the
years 2011-2016 are as follows.
Draw frequency polygon

10. CONTD

11. CONTD
FREQUENCY CURVE
PROBLEM 03
The ages of group of pensioners are given in the table
below.
Draw the Frequency curve to the following data.

12. CONTD

13. SUMMARY
As we already discussed and learnt today on
Diagrammatic and Graphical Representation as below
• Construction of Graphs ( Histogram, Frequency
Polygon and Curve) Problems--------------- 02

14. MCQs
1 . A frequency polygon is constructed by plotting
frequency of the class interval and the
a) The upper limit of the class
b) The lower limit of the class
c) Mid value of the class
d) Any values of the class
2. A circle in which sectors represents various quantities
is called
a) Histogram
b) Frequency Polygon
c) Pie Chart
d) Component Bar chart

15. MCQs
3 . A graphical representation of a cumulative relative
frequency distribution is called
a) Histogram
b) Pie chart
c) Box and Whisker plot
d) None of these
4. In a histogram, the area of each rectangle is
proportional to
a) The class mark of the corresponding class interval
b) The class size of the corresponding class interval
c) Frequency of the corresponding class interval
d) Cumulative frequency of the corresponding class
interval

16. MCQs
5 . Which of the following statement is false?
a) Ranked or ordinal data is presented with Pie chart
b) In a positively skewed histogram, the mean is
larger than the median
c) A histogram can have more than one mode
d) In stem and leaf display the individual values don’t
vanish
e) None of these

17. CONTD
ANSWERS
1. C
2. C
3. D
4. C
5. A

18. 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

19. THANK YOU