LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B.A. DEGREE EXAMINATION – ECONOMICS
THIRD SEMESTER – APRIL 2012
EC 3502/EC 3500 – QUANTITATIVE TOOLS FOR ECONOMICS
Date : 26-04-2012 Dept. No. Max. : 100 Marks
Time : 9:00 – 12:00
PART – A
Answer any FIVE questions in about 75 words each: (5 x 4 = 20 marks)
- Bring out the limitations of Statistics.
- What are the uses of Index Numbers?
- What are the requisites of a good average?
- Discuss the different methods of classification.
- Calculate Range and its coefficient for the following:
| Marks | No. of Students |
| 10 – 20 | 8 |
| 20 – 30 | 10 |
| 30 – 40 | 12 |
| 40 – 50 | 8 |
| 50 – 60 | 4 |
- Calculate Harmonic mean for the following:
| X: | 5 | 7 | 10 | 13 | 15 | 20 | 25 | 28 |
- What are the different measures of Dispersion?
PART – B
Answer any FOUR questions in about 300 words each: (4 x 10 = 40 marks)
- Explain the components of a Time Series.
- Calculate mode for the following:
| Marks | No. of Students |
| 0 – 10 | 3 |
| 10 – 20 | 5 |
| 20 – 30 | 7 |
| 30 – 40 | 10 |
| 40 – 50 | 12 |
| 50 – 60 | 15 |
| 60 – 70 | 12 |
| 70 – 80 | 6 |
| 80 – 90 | 2 |
| 90 – 100 | 8 |
- What are the difficulties in the construction of Index Numbers?
- Find the coefficient of correlation for the following:
| X: | 39 | 65 | 62 | 90 | 82 | 75 | 25 | 98 | 36 | 78 |
| Y: | 47 | 53 | 58 | 86 | 62 | 68 | 60 | 91 | 51 | 84 |
- Draw a multiple bar diagram from the following:
| Year | Sales (in `1000) | Gross Profit (in `1000) | Net Profit (in `1000) |
| 2007 | 120 | 40 | 20 |
| 2008 | 135 | 45 | 30 |
| 2009 | 140 | 55 | 35 |
| 2010 | 150 | 60 | 40 |
- From the following data obtain the regression equation of Y on X.
| X: | 6 | 2 | 10 | 4 | 8 |
| Y: | 9 | 11 | 5 | 8 | 7 |
- What are the functions of Statistics?
PART – C
Answer any TWO in about 900 words each: (2 x 20 = 40 marks)
- Explain in detail the different methods of Primary data collection.
- Calculate Quartile Deviation and its coefficient from the following:
| X |
| 20 |
| 28 |
| 40 |
| 12 |
| 30 |
| 15 |
| 50 |
- Construct Index Numbers of price by applying:
- Lespeyres method (ii) Paasche method
iii) Bowley method (iv) Fishers ideal method
| Commodity | 2006 | 2007 | ||
| Price | Quantity | Price | Quantity | |
| A | 2 | 8 | 4 | 6 |
| B | 5 | 10 | 6 | 5 |
| C | 4 | 14 | 5 | 10 |
| D | 2 | 19 | 2 | 13 |
- Fit a straight line trend for the following data by the method of Least Squares:
| Years | Production (in m.tonnes) |
| 2003 | 80 |
| 2004 | 90 |
| 2005 | 92 |
| 2006 | 83 |
| 2007 | 94 |
| 2008 | 99 |
| 2009 | 92 |
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