(Pages 3378
P.T.O
MAR IVANIOS COLLEGE (AUTONOMOUS)
THIRUVANANTHAPURAM
Reg. No. :.………………… Name :.…………………
Sixth Semester B.A. Degree Examination, April 2018
First Degree Programme under CBCSS
Core Course: Economics XIII
AUEC643: Basic Tools for Economics II
(Common for Regular 2015 and Reappearance 2014 Admn.)
Time: 3 Hours Max. Marks: 80
SECTION A
Answer ALL the following terms each in one or two sentences.
1. Correlation.
2. Dispersion.
3. Consumer Price Index.
4. Probability.
5. Regression.
6. Index number.
7. Scatter diagram.
8. Spurious correlation.
9. Statistical average.
10. Discrete variable.
(10 1 10 Marks)
SECTION B
Write short notes on any EIGHT of the following, not exceeding a paragraph.
11. In a class there are 30 boys and 20 girls. From the class list one name is picked up at random. What is the probability that it is a boy's name?
12. Index numbers are called 'Economic Barometers' Why?
13. State the multiplication rule of probability.
14. Find the quartile deviation for the following values: 28, 32, 25, 42, 55, 82, 10, 25, 40, 38, 39?
15. What are the different measures of correlation?
16. Define the line of best fit.
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17. Meaning of wholesale price index.
18. What is Purchasing Power Parity?
19. Explain the least square method of drawing a regression line.
20. Write down the formula for computing Karl Pearson coefficient of correlation and use the equation to find out the Pearsonian coefficient of correlation between x and
x
2
3
4
5
6
7
8
y
4
5
6
12
9
5
4
21. If P 2/5 and P 3/8 P examine whether A and B are independent?
22. What are the merits and demerits of arithmetic mean?
2 16 Marks)
SECTION C
Short essay type Answer any SIX questions, each not to exceed one and a half page.
23. From the following data of the age of Husband and the age of wife, form the two regression equations and calculate the husband's age when the wife's age is 16.
Husband's Age
36
23
27
28
28
29
30
31
33
35
Wife's Age
29
18
20
22
27
21
29
27
29
28
24. For the data given below calculate simple Index number using simple aggregative method:
Commodities
Price (1995)
Price (2000)
A
5
7
B
8
9
C
12
15
D
25
24
E
3
4
25. Explain the time reversal and factor reversal tests of index numbers.
26. Compute quartile measure of dispersion, Inter Quartile range and coefficient of Quartile Deviation for the following values: 23,25,8,10,9,29,45,85,10,16.
27. A card is drawn from a pack of cards. What is the probability that it is a black card a king a queen a spade a spade king a king or a queen?
28. List out the merits and demerits of different averages.
29. Which is the ideal index number and why is it considered ideal?
30. Find the standard deviation and coefficient of variation of the values 10, 12, 80, 70, 60, 100, 4.
31. Explain the relationship between regression and correlation coefficients.
4 24 Marks)
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SECTION D
Long essay type Answer any TWO questions, each not exceeding three pages.
32. Find mean, median and mode for the following data:
Class
5-9
10-14
15-19
20-24
25-29
30-34
35-39
Frequency
8
12
23
12
7
5
3
33. Find Karl Pearson's co -efficient of correlation between the values of X Y given below. Also find Probable error and interpret.
X
13
14
15
16
17
18
19
20
21
Y
39
41
43
34
37
39
49
47
55
Assume 17 and 43 as mean values for x and y.
34. Using the following data, verify that Marshall Edgeworth Index number is a good approximation to the ideal index number.
Commodity
1999
2002
Price
Quantity
Price
Quantity
A
2
74
3
82
B
5
125
4
140
C
7
40
6
33
35. The scores of two batsmen A and B in six innings during a certain match are as
follows:
Batsman A
10
12
80
70
60
100
0
4
Batsman B
8
9
7
10
5
9
10
8
Examine which of the two batsmen is more consistent in scoring.
15 30 Marks)
(Table for Areas under standard normal probability curve is given overleaf)
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