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1. (a) Mention at least five characteristics of a good measure of dispersion.
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 3yearly 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.