LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B.Sc. DEGREE EXAMINATION – STATISTICS
SUPPLEMENTARY EXAMINATION – JUNE 2008
ST 5502 - APPLIED STATISTICS
Date : 28-06-08
Time : 9.00 – 12.00
Dept. No.
Max. : 100 Marks
PART-A
Answer ALL the following questions:
(10 X 2 = 20)
1) Define Index number.
2) State any two uses of Index number.
3) Write the components of time series.
4) Write the four methods of measurements of trend.
5) Briefly explain Life tables.
6) What is Total Fertility Rate?
7) Define multiple regression.
8) Give the expression for multiple correlation.
9) State any two functions of N.S.S.O and C.S.O
10) What is National Income Statistics?
PART-B
Answer any FIVE of the following questions:
(5 X 8 = 40)
11) Explain the components of Time Series.
12) The price quotation of four different commodities for 2005 and 2007 are given
below. Calculate the index number for 2007 with 2005 as base by using (i) the
simple average of price relatives, and (ii) the weighted average of price relatives.
commodities
A
B
C
D
Unit
Weight (Rs. ‘000)
Kg
Quintal
Dozen
Kg
5
7
6
2
Price in Rs.
2005
2.0
2.50
3.0
1.00
2007
4.50
3.20
4.50
1.80
13) Below are given the figures of production (in thousand quintals ) of a sugar factory:
Year
Production
1999
2000
2001
2002
2003
2004
2005
77
88
94
85
91
98
90
a) Fit a straight line by the least squares method and tabulate the trend values.
b) Eliminate the trend. What components of the time series are thus left over.
c) What is the monthly increase in the production of sugar?
14) Explain the steps involved in construction of Index numbers.
15) Describe about Gross Reproduction Rate and Net Reproduction Rate.
16) Compute the crude and standardized death rates of the two populations A and B regarding A as
standard population, from the following data:
Age-group
(years)
Under 10
10-20
20-40
40-60
Above 60
A
Population
20,000
12,000
50,000
30,000
10,000
Deaths
600
240
1,250
1,050
500
B
Population
12,000
30,000
62,000
15,000
3,000
Deaths
372
660
1,612
325
180
1
17) Given that the complete expectation of life at ages 30 and 31 for a particular group are respectively
21.39 and 20.91 years and that the number living at age 30 is 41,176, find (i) the number that attains
the age 31 and (ii) the number that will die without attaining the age 31.
18) Write short notes on (i) Economic census and (ii) Agricultural Statistics.
PART-C
Answer any TWO of the following questions:
(2 X 20 = 40)
19) (a) Explain Base Shifting and Deflating of index numbers.
(10)
(b) The following table gives the average wholesale prices of four groups of
commodities for the year 2001 to 2005. compute chain base index numbers.
Commodity
Food
Oil
Cloth
Milk
2001
2
3
4
5
2002
3
6
12
7
2003
4
9
20
18
2004
2
4
8
11
2005
7
3
16
22
20) Calculate seasonal indices by the ratio to moving average method from the following
data:
Year
Quarter
Q1
Q2
Q3
Q4
1990
1991
1992
1993
75
60
54
59
86
65
63
80
90
72
66
85
100
78
72
93
21) (a) Write down a short note on Gross Reproduction Rate.
(8)
(b) From the data given below, calculate the gross reproduction rate and net
reproduction rate.
Age-group
Number of children born to
1,000 women passing
through the age-group
16-20
150
21-25
1500
26-30
2000
31-35
800
36-40
500
41-45
200
46-50
100
Sex ratio being males : females is 52:48.
Mortality rate (per 1000)
120
180
150
200
220
230
250
22) Given the following data:
X1
3
5
6
8
12
X2
16
10
7
4
3
X3
90
72
54
42
30
Compute the correlation of linear multiple correlation of X3 on X1 and X2.
14
2
12
☺☺☺☺GOOD LUCK☺☺☺☺
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