LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

   B.A. DEGREE EXAMINATION – ECONOMICS

THIRD SEMESTER – NOVEMBER 2010

EC 3502/EC 3500 – QUANTITATIVE TOOLS FOR ECONOMICS

 

 

 

Date : 02-11-10                     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. Define ‘Statistics’.
2. Distinguish between ‘census’ and ‘sample’.
3. What are the objectives of classification?.
4. Give one situation each where we use Mean, Median and Mode.
5. What is the difference between skewness and kurtosis?
6. What are the different types of correlation?
7. Bring out the limitations of Index Numbers.

 

PART – B

 

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

 

8. Exports and Imports of a country from 2007-08 to 2009 -10 are given below.

Show the data with the help of multiple bar diagram.

 

Year	EXPORT( in crores of Rs.)	IMPORT ( in crores of Rs.)
2006 -07	800	1000
2007 -08	750	1500
2008 – 09	1000	2000
2009 – 10	1500	2000

 

9. Explain in detail the functions of Statistics.

 

10. Calculate the Standard  deviation for the following data:

 

Age in years	20-25	25-30	30-35	35-40	40-45	45-50	50-55
No. of employees	170	110	80	45	40	30	25

 

11. Compare and contrast correlation analysis with regression analysis.

 

12. If Mean = 40 , standard deviation = 10 and Karl Pearson’s coefficient of skewness = 0.5 . Find the Median and Mode.

 

13. Calculate the coefficient of Rank correlation for the following data:

            

X	80	78	75	75	68	67	60	59
Y	12	13	14	14	14	16	15	17

 

14. Explain the various components of Time series?

PART – C

 

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

 

15. Explain different methods of Tabulation, Diagrams and graphic representation of Data.

 

16. The following data refer to profits in Rs. Per month, of 100 companies:

 

PROFIT	6000 -7000	7000 -8000	8000 -9000	9000 -10000	10000 -11000	11000 -12000
No. of companies	11	15	19	25	20	10

 

Determine Bowley’s coefficient of skewness and interpret its value.

 

17. Estimate the regression equation Y_i   =   a + b X_i and also the correlation co efficient between

the two given variables.

 

Yi	61	72	73	73	63	84	80	66	76	74	72
Xi	40	52	59	53	61	58	56	42	58	50	50

 

18. Calculate Fisher’s ideal index number and prove that it satisfy Time reversal and Factor reversal test.

 

(QUANTITY)                                       (PRICE)

Commodity	2000 -2001	2009 -2010	2000 – 2001	2009 – 2010
A	10	12	5	6
B	12	8	7	10
C	8	8	10	12
D	5	6	4	5
E	7	8	8	8

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