1. (a). Mention the characteristics of a good measure of
dispersion.
(b) Calculate standard deviation
for the following data:
Mid. Value

15

25

35

45

55

66

Frequency

18

22

40

32

18

10

Or
(c) Discuss the importance of a
good measure of dispersion.
(d) Discuss the advantages and
disadvantages of sample survey of collecting data.
2. (a) Write the properties of coefficient of correlation.
(b) From the following data fit a
regression line of Y on X:
X:

52

63

45

36

72

65

47

25

Y:

62

53

51

25

79

43

60

33

Or
(c) Prove that karl person’s coefficient of correlation is
independent of change of origin and change of scale.
X:

78

89

99

60

59

79

68

61

Y:

125

137

156

112

107

136

123

108

3. (a) Why is fisher’s index number called ideal index?
(b) Distinguish between Price and
quantity index numbers. Also mention five limitations of index number.
Or
(c) Mention the different uses of
index number in the study of economics and commerce.
(d) Calculate price indices for
the year 1993 from the following using (i) Laspeyre’s method and (ii)Fisher’s
method
Commodity

Price (1990)

Quantity (1990)

Price (1993)

Quantity (1993)

A
B
C
D

6
2
4
10

50
100
60
30

10
2
6
12

56
120
60
24

4. (a) Discuss the utility of the study of time series.
(b) Using the least square
principle, find the trend values from the following data:
Year:

1990

1991

1992

1993

1994

1995

1996

Production:

83

60

54

21

22

13

23

Or
(c) Write short notes on:
(i) Least square
method
(ii) Simple average
method
(d) Calculate trend
using least square method and estimate the value of scales for the year 2007
from the following data:
Year:

2001

2002

2003

2004

2005

Sales:

100

120

140

160

180

5. (a) Explain the objectives of
business forecasting.
(b) Discuss the
steps of forecasting.
Or
(c) Explain the
time series analysis as a tool of forecasting.
(d) Explain any
three methods of forecasting.