Loyola College B.A. Economics April 2012 Quantitative Tools For Economics Question Paper PDF Download

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)

 

  1. Bring out the limitations of Statistics.
  2. What are the uses of Index Numbers?
  3. What are the requisites of a good average?
  4. Discuss the different methods of classification.
  5. 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

 

  1. Calculate Harmonic mean for the following:

 

X: 5 7 10 13 15 20 25 28

 

  1. What are the different measures of Dispersion?

 

PART – B

 

Answer any FOUR questions in about 300 words each:                                           (4 x 10 = 40 marks)

 

  1. Explain the components of a Time Series.

 

 

 

 

 

 

 

  1. 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

 

  1. What are the difficulties in the construction of Index Numbers?

 

  1. 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

 

  1. 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

 

  1. From the following data obtain the regression equation of Y on X.

 

X: 6 2 10 4 8
Y: 9 11 5 8 7

 

  1. What are the functions of Statistics?

PART – C

 

Answer any TWO in about 900 words each:                                                         (2 x 20 = 40 marks)

 

  1. Explain in detail the different methods of Primary data collection.

 

  1. Calculate Quartile Deviation and its coefficient from the following:

 

X
20
28
40
12
30
15
50

 

  1. Construct Index Numbers of price by applying:

 

  1. 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

 

  1. 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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