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University of Madras (UoM)

University of Madras (UoM)

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Paper IV – Statistics for Economics
Statistics for Economics
October 2003
 P/IC 142/PCC

Time: Three hours
Maximum: 100 marks

SECTION-A (5x8=40 marks)
Answer any FIVE questions.
All questions carry equal marks.
Each answer should not exceed 300 words.

1. What is meant by census method? Bring out the merits of the use of census method.

2. Calculate the arithmetic mean for the following data:
Sl no. Income (Rs.)
1 280
2 180
3 96
4 98
5 104
6 75
7 80
8 94
9 100
10 75
11 600
12 200

3. Define binomial distribution. Mention the assumptions on which binomial process is developed.

4. What is chi-square test? Write down the conditions for applying this test.

5. Distinguish between point estimates and interval estimates.

6. What is partial correlation? Explain the uses of the partial correlation.

7. What is Paasche’s Price Index? Mention the difficulties in the construction of this index.

8. Write down the merits and limitations of moving averages.

SECTION-B (3x20=60 marks) Answer any THREE questions. All questions carry equal marks. Each answer should not exceed 1,200 words. 9. Estimate the co-efficient of kurtosis for the following data and comment on the value obtained.
X: 4.5 14.5 24.5 34.5 44.5 54.5 64.5 74.5 84.5 94.5
f: 1 5 12 22 17 9 4 3 1 1

10.Calculate Karl Pearson’s coefficient of correlation for the following data:
Year Income Expenditure
1968 249 237
1969 251 238
1970 248 236
1971 252 240
1972 258 245
1973 269 255
1974 271 254
1975 272 252
1976 280 258
1977 275 251

11. Find out the regression lines for the following data:
X: 6 2 10 4 8
Y: 9 11 5 8 7

12. Describe consumer price index: Construct the consumer price index for the following data for 1979 with 1978 as base:
Price (In Rs)
Group 1978 1979
A 20.00 24
B 1.25 1.50
C 5.00 8.00
D 2.00 2.25

13. Fit the straight line trend for the following data by least square method, find the value for 1982.
1974 38
1975 40
1976 65
1977 72
1978 69
1979 60
1980 87
1981 95
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