LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B.A. DEGREE EXAMINATION – ECONOMICS
THIRD SEMESTER – NOV 2006
AN 06
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
25 26 27
28
29
30
31
32
33 34 35
per week
No of
25 70 210 275 430 550 340 130 90 55 25
persons
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.
______________