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.