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Thursday, February 21, 2013

Dibrugarh University - Business Statistics 2009

Solved question paper click here
1.       (a)  Mention at least five characteristics of a good measure of dispersion.
(b)  Calculate Mean and Variance from the following data :
X
10 – 19
20 – 29
30 – 39
40 – 49
50 – 59
60 – 69
70 – 79
Y
3
61
223
137
53
19
4
       
Or

        (c)   From the following data find the value of X, if A.M. is 17.
Age
8
20
26
29
No. Of Persons
3
2
X
1
                               
(d)  Discuss any five essential qualities of an ideal measure of central tendency and state the Advantages of sample survey of collecting data.

2.       (a)  What is regression line ? Why there are two lines of regression ?
(b)  Calculate Karl Pearson’s coefficient of correlation from the data given below :

X:
39
65
62
90
82
75
25
98
36
78
Y:
47
53
58
86
62
68
60
91
51
84
Or
(c)   What is coefficient of correlation ? What is its range ?
(d)  From the following data obtain the two regression equations :
X:
6
2
10
4
8
Y:
9
11
5
8
7
3.       (a) Mention five different uses of Index Number in the study of Economics and Commerce.
(b) Calculate price indices for the year 1993 from the following using (i) Laspeyre’s method               And (ii) Fisher’s Method.

Commodity
             1990     
             1993
Price         
Quantity
Price
Quantity
A
B
C
D
6
2
4
10
50
100
60
3
10
2
6
12
56
120
60
24








Or
c)    Why Fisher Index Number is called Ideal Index ?
        d)    Distinguish between Price and Quantity Index number’s . Also mention five limitations of Index Number.

4.       (a) 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

(b) Expalin the components of a time series. Write down any two models used for time series analysis.
Or
        (c) Find the trend values by 3-yearly moving average method from the following data:
Year:
1990
1991
1992
1993
1994
1995
1996
1997
1998
Sales(In lakhs)
5
7
9
12
11
10
8
12
13
       
(d) Write short notes on : (any three)
                (i) Trend
                (ii) Seasonal fluctuations
                (iii) Cyclical fluctuations
                (iv) Irregular fluctuations.

5.       (a) State the Additive and Multiplicative Laws of Probability:
        (b) Discuss any three methods of forecasting.
Or
(c) State five objectives of Business Forecasting.
(d) Explain Sales forecasting and Demand forecasting.