LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034      B.A. DEGREE EXAMINATION – ECONOMICS

AN 06

THIRD SEMESTER – NOV 2006

         EC 3500 – QUANTITATIVE TOOLS FOR ECONOMICS

(Also equivalent to ECO 502)

 

 

Date & Time : 02-11-2006/9.00-12.00         Dept. No.                                                       Max. : 100 Marks

Part  – A

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

1. What do you mean by statistics?
2. Write short notes on the following

(a) Histogram;       (b) frequency curve

3. What are the main objectives of classification of data?
4. What do you understand by primary data? In what way is it superior to secondary data?
5. What are the objectives of averages?
6. What is meant by correlation?
7. What do you understand by the term regression?

Part – B

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

8. Explain the functions of statistics.
9. Draw the histogram of the frequency distribution of marks given below:

Marks(x):               10-15   15-20   20-30   30-40   40-50   50-57   75-100

Frequency(y):            4         12        20        18        14        25         10

10. A candidate obtained the following percentages of marks in an examination: English 75; Statistics 60; Mathematics 59; Physics 55; Chemistry 63. Find the weighted mean if weights 2, 1, 3, 3 and 1 respectively are allocated to the subjects. Calculate the weighted mean and also the simple mean.
11. Calculate the quartile deviations from the following data:

Income per week	25	26	27	28	29	30	31	32	33	34	35
No of persons	25	70	210	275	430	550	340	130	90	55	25

12. From the following discrete data calculate Karl Pearson’s coefficient of skewness.

X:              6          12        18        24        30        36        42

f:                4          7          9          18        15        10        5

13. Discuss the merits and demerits of arithmetic mean.
14. Explain the method of least-squares.

 

Part – C

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

15. Explain the different methods of collecting primary data.
16. Obtain Skewness and Kurtosis of coefficients from the following data.

X:	0-10	10-20	20-30	30-40	40-50	50-60	60-70
f:	4	8	11	15	11	7	4

17. Obtain the two regression equations from the following data:

Hight(x):	61	68	68	64	65	70	63	62	64	67
Weight(Y):	112	123	130	115	110	125	100	113	116	126

18. Analyze the uses and importance of index numbers.

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