graphical representation 2

graphical representation 2

1. PROGRAMME B.COM SUBJECT QUANTITATIVE TECHNIQUE – I SEMESTER III UNIVERSITY VIJAYANAGAR SRI KRISHNADEVARAYA UNIVERSITY, BALLARI SESSION 24

2. RECAP Graphical Representation, Meaning, Graph V/S Diagrams, General Rules of Graph

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 - 23 Construction of Graphs ( Histogram, Frequency Polygon and Curve) Problems---------------01

6. Construction of Graphs Types of Graphs Histogram Frequency polygon Frequency curve Ogives or Cumulative frequency curve HISTOGRAM; A histogram is an attached bar chart or graph displaying the distribution of a frequency distribution in visual form. Take classes along the X-axis and the frequencies along the Y-axis. Corresponding to each class interval, a vertical bar is drawn whose height is proportional to the class frequency. 

7. CONTD We cannot construct a histogram for distribution with open-ended classes. The histogram is also quite misleading, if the distribution has unequal intervals . PROBLEM 01 The following table shows the time taken (in minutes) by 100 students to travel to school on a particular day. Draw Histogram.

8. CONTD

9. CONTD FREQUENCY POLYGON Frequency polygon is drawn after drawing histogram for a given frequency distribution. The area covered under the polygon is equal to the area of the histogram. Vertices of the polygon represent the class frequencies. Frequency polygon helps to determine the classes with higher frequencies. 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 Frequency curve is a smooth and free-hand curve drawn to represent a frequency distribution. Frequency curve is drawn by smoothing the vertices of the frequency polygon. Frequency curve provides better understanding about the properties of the data than frequency polygon and histogram.

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

13. CONTD

14. SUMMARY As we already discussed and learnt today on Diagrammatic and Graphical Representation as below Construction of Graphs ( Histogram, Frequency Polygon and Curve) Problems---------------01

15. MCQs 1 . Histogram can be drawn only for: Discrete frequency distribution ( b) Continuous frequency distribution (c ) Cumulative frequency distribution ( d) Relative frequency distribution 2. Histogram is a graph of: Frequency distribution ( b) Time series ( c) Qualitative data ( d) Ogive

16. MCQs 3 . When successive mid-points in a histogram are connected by straight lines, the graph is called a: Histogram ( b) Ogive ( c) Frequency curve ( d) Frequency polygon 4. A frequency polygon is a closed figure which is: One sided ( b) Two sided ( c) Three sided ( d) Many sided

17. MCQs 5 . Frequency polygon can be drawn with the help of: Historigram ( b) Histogram ( c) Circle ( d) Percentage

18. CONTD ANSWERS 1. B 2. A 3. D 4. D 5. B

19. 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

20. THANK YOU