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Sunday, February 24, 2013

Dibrugarh university - Business Statistics 2012

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.
(d) Calculate karl person’s coefficient of correlation from the data given below:
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.