LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.A. DEGREE EXAMINATION – ECONOMICS

THIRD SEMESTER – APRIL 2011

EC 3502/EC 3500 – QUANTITATIVE TOOLS FOR ECONOMICS

 

 

 

Date : 25-04-2011              Dept. No.                                                  Max. : 100 Marks

Time : 1:00 – 4:00

 

PART – A

 

Answer any FIVE of the following in about 75 words each.                                      (5 x 4 = 20 marks)

 

1. Bring out the limitations of statistics.
2. State the characteristics of statistics.
3. Bring out the advantages of Census type enquiry.
4. What is meant by classification of data?
5. What are the properties of a good measure of dispersion?
6. What is an Index number?
7. Briefly explain simple regression and multiple regression.

 

PART – B

 

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

 

8. Discuss the importance of statistics

 

9. What are the various types of diagrams? Explain each with suitable example.

 

10. Calculate the mean, median and mode from the following frequency distribution

Marks                       5     10     15    20     25     30    35    40     45    50

No. of students         20   43    75     76     72     45    39     9        8      6

 

11. What are the various methods of measuring skewness?

 

12. Explain how correlation could be studied with the help of scatter diagram method.

 

13. Write short notes on: a) Method of moving averages, b) Method of least squares.

 

14. Calculate the 3 year moving average of the sales figures given below and draw the trend.

 

Year  1994  1995  1996  1997   1998  1999   2000    01    02   03    04     05     06     07     08

 

Sales   15       21     30      36        42      46      50      56     63   70    74     82     90     95    102

 

PART – C

 

Answer any TWO of the following in about 900 words each.                                  (2×20 = 40 marks)

 

15. What is data? Distinguish between primary data and secondary data giving various methods of collecting primary data.

 

16. In the following data distribution of population in a city, those who have respiratory problems are given. Find out if there is any relationship between age and the illness.

 

Age           0 – 10   10 – 20   20 – 30  30 – 40  40 – 50   50 – 60   60 – 70  70 – 80

 

No.of                                                                                                                                                    persons       55           67          100         111       150         200         300        300

with illness

per lakh pop.

 

17. Using the data given calculate price index numbers for the year 2008 by
18. a) Laspeyer’s method b) Passche method c)  Fisher’s index with 1999 as base.

 

Commodity                                      Price                                      Quantity

1999               2008               1999               2008

(Rs.)               (Rs.)                (000kg)        (000 kg)

 

Rice                                          9.3                   4.5                   100                 90

Wheat                                       6.4                   3.7                    11                   10

 

Pulses                                      5.1                   2.7                      5        2

 

 

1. For the following data obtain the two regression equations.

 

X      6       2      10       4        8

 

Y      9     11        5       8        7.

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