LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034 B.A. DEGREE EXAMINATION – ECONOMICS THIRD SEMESTER – APRIL 2008 EC 3502 - QUANTITATIVE TOOLS FOR ECONOMICS Date : 07/05/2008 Time : 1:00 - 4:00 Dept. No. BC 11 Max. : 100 Marks PART – A Answer any FIVE questions in about 75 words each: 1. 2. 3. 4. 5. 6. 7. (5 x 4 = 20 marks) Define Statistics. Distinguish between a schedule and a Questionnaire. What are the different types of classification? State and explain two important properties of Arithmetic Mean. What is Bowley’s coefficient of skewness. What are the uses of Regression Analysis? What are the methods of construction of Index Numbers? PART – B Answer any FOUR questions in about 250 words each: (4 x 10 = 40 marks) 8. Discuss the various stages of Statistical Investigation. 9. Calculate Median for the following data. Marks <5 <10 <15 <20 <25 <30 <35 <40 <45 No. of Students 29 224 465 582 634 644 650 653 655 10. Calculate Mean Deviation form the Mean for the following data. Size Frequency 2 4 6 8 10 12 14 16 2 2 4 5 3 2 1 1 11. From the following data calculate coefficient of variation and state which share value is more stable. X Y 35 54 52 53 56 58 52 50 51 49 108 107 105 105 106 107 104 103 104 101 12. Briefly explain the Mathematical Properties of Standard Deviation. 13. Explain the various components of Time series. 14. Discuss the problems in the construction of Index Numbers. PART – C Answer any TWO questions in about 900 words each: (2 x 20 = 40 marks) 15. Explain the methods of collecting data.. 16. Find the coefficient of the correlation for the following data Cost Sales 39 47 65 53 62 58 90 86 82 62 75 68 25 60 98 91 36 51 78 84 17. Compute Laspeyres, Paasche, Fishers and Marshall-Edgeworth. Index Numbers from the following data. 18. Fit a straight line trend for the following series. Estimate the value for 2008. Year Production of Steel 2001 2002 2003 2004 2005 2006 2007 60 72 75 65 80 85 95 *************** 1