Bi variate frequency distribution table 2

Bi variate frequency distribution table 2

1. PROGRAMME B.COM SUBJECT QUANTITATIVE TECHNIQUE – I SEMESTER III UNIVERSITY VIJAYANAGAR SRI KRISHNADEVARAYA UNIVERSITY, BALLARI SESSION 14

2. RECAP Bi-Variate Frequency Distribution Table Meaning & Problems-------- 01

3. LEARNING OBJECTIVES The aim of the chapter is to make students to present data in textual and Tabular format including the technique of creating frequency distribution and working out bi-variate distribution table

4. LEARNING OUTCOMES After the Chapter , The Students Shall be able to Describe and Understand the Rules & Types of Classification, Frequency Distribution , Class Interval & its Types , Basic Principles Tabulation and The Sorting of Data.

5. SESSION - 14 Bi-Variate Frequency Distribution Table Problems - 02

6. EXAMPLE 1 Prepare a bivariate frequency distribution table with regard to marks scored by 20 students in two subjects i.e., M arks in F.A and Q.T, With class interval 10 F.A 36 29 31 19 41 46 28 37 53 39 Q. T 57 43 41 31 61 63 19 53 75 61 F.A 41 39 36 36 71 18 43 47 36 36 Q.T 61 57 53 49 81 19 59 66 49 51

7. CONTD BI-VARIATE FREQUENCY DISTRIBUTION Q.T F.A 15-25 25-35 35-45 45-55 55-65 65-75 TOTAL 15-25 I I -- -- -- -- 2 25-35 I -- -- -- -- -- 1 35-45 -- II -- -- -- -- 2 45-55 -- -- IIII I -- 5 55-65 -- -- IIII I I -- 7 65-75 -- -- -- I -- 1 75-85 -- -- -- I -- I 2 TOTAL 2 3 11 3 -- 1 20

8. EXAMPLE 2 Prepare a bivariate frequency distribution table with regard to the ages of 22 husbands and wives are given below, taking class intervals for both ages, 20-25, 25-30, 30-35 etc. Age of husband as X , age of wives as Y X 29 38 43 26 30 47 38 36 24 42 43 Y 24 35 40 27 26 46 36 36 23 40 33 X 28 40 24 34 37 33 23 30 39 49 36 Y 25 35 21 32 30 36 24 28 35 48 20

9. CONTD Classification of Ages of Husbands and Wives Y X 20-25 25-30 30-35 35-40 40-45 45-50 TOTAL 20-25 III I -- I -- -- 5 25-30 -- II II -- -- -- 4 30-35 -- -- I I I -- 3 35-40 -- -- I IIII I -- 6 40-45 -- -- -- -- II -- 2 45-50 -- -- -- -- -- II 2 TOTAL 3 3 4 6 4 2 22

10. SUMMARY As we already discussed and learnt today on Classifications and Tabulation as below Bi-Variate Frequency Distribution Table Problems - 02

11. MCQs 1 . A grouping of data into mutually exclusive classes showing the number of observations in each class is; Frequency polygon ( b) Relative frequency ( c) Frequency distribution (d) Cumulative frequency 2 . The class frequency divided by the total number of observations is called: Percentage frequency ( b) Relative frequency ( c) Cumulative frequency ( d) Bivariate frequency

12. MCQs 3 . The following frequency distribution Classes 10- --- 20, 20---- 30, 30---- 40, 40---- 50, 50----60 Frequency 2 4 6 4 2 is classified as: Exclusive classification ( b) Inclusive classification ( c) Geographical classification ( d) Two-way classification

13. MCQs 4 . The following frequency distribution Classes 0- --- 4, 5---- 9, 10---- 14, 15---- 19, 20----24 Frequency 2 3 7 5 3 is classified as: Multiple classification ( b) Qualitative classification ( c) Inclusive classification ( d) Exclusive classification

14. MCQs 5 . The following frequency distribution Classes; Less than 2, Less than 4, Less than 6, Less than 8 Frequency; 2 6 16 19 is classified as: Inclusive classification (b) Exclusive classification (c) Discrete classification (d) Cross classification

15. CONTD ANSWERS 1. C 2. B 3. A 4. C 5. B

16. 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

17. THANK YOU