LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
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B.A. DEGREE EXAMINATION – ECONOMICS
THIRD SEMESTER – APRIL 2008
EC 3502 – QUANTITATIVE TOOLS FOR ECONOMICS
Date : 07/05/2008 Dept. No. Max. : 100 Marks
Time : 1:00 – 4:00
PART – A
Answer any FIVE questions in about 75 words each: (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)
- Discuss the various stages of Statistical Investigation.
- 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 |
- Calculate Mean Deviation form the Mean for the following data.
Size | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 |
Frequency | 2 | 2 | 4 | 5 | 3 | 2 | 1 | 1 |
- From the following data calculate coefficient of variation and state which share value is more stable.
X | 35 | 54 | 52 | 53 | 56 | 58 | 52 | 50 | 51 | 49 |
Y | 108 | 107 | 105 | 105 | 106 | 107 | 104 | 103 | 104 | 101 |
- Briefly explain the Mathematical Properties of Standard Deviation.
- Explain the various components of Time series.
- 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)
- Explain the methods of collecting data..
- Find the coefficient of the correlation for the following data
Cost | 39 | 65 | 62 | 90 | 82 | 75 | 25 | 98 | 36 | 78 |
Sales | 47 | 53 | 58 | 86 | 62 | 68 | 60 | 91 | 51 | 84 |
- Compute Laspeyres, Paasche, Fishers and Marshall-Edgeworth. Index Numbers from the following data.
- Fit a straight line trend for the following series. Estimate the value for 2008.
Year | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 |
Production of Steel | 60 | 72 | 75 | 65 | 80 | 85 | 95 |
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