Bangalore University 2006 B.Com - Question Paper

2006 Bangalore University B.Com II Semester exam ques. paper

Course: B.Com University: Bangalore University


II Semester B.Com. Examination, May/June 2006
Semester Scheme
COMMERCE
Business Statistics


Time: three Hours Total Marks : 90

Instruction: Answers should be written fully in English or Kannada.

part – A

ans any ten ques. from the subsequent. every ques. carries 2 marks: 10x2=22

1. a) describe statistics.
b) What is an inclusive series? provide an example.
c) For a distribution variance is 121 and its CV is 23.15%. Determine its Mean.
d) elaborate the limitations of Range?
e) provide the meaning of Regression.
f) Mention any 4 advantages of Arithmetic Mean?
g) What is meant by weighted Arithmetic Mean?
h) provide the meaning of Time Reversal Test.
i) What is an index number?
j) provide the meaning of , “Questionnaire”.
k) Mention 4 functions of statistics
l) For a distribution the value of Mode is 28 and the Median 30. What will be the value of Arithmetic Mean?


part – B


ans any 5 ques.. every ques. carries 5 marks : 5x5=25

2. compute Mean, Median and Mode from the subsequent.
Roll No.: one two three four five six seven 8
Age : 21 18 19 21 20 17 22 23

3. obtain out the coefficient of Mean Deviation from the subsequent with Median as the base.

X: four six eight 10 12 14 16
F: 10 13 22 24 15 12 9

4. Determine Mode for the subsequent group.

Variable : 28 30 32 34 36 38 40 42 44
Frequency : 10 12 16 14 10 eight 17 five 4

5. The Arithmetic Mean of runs scored by 3 batsmen A, B and C in a series of 120 innings are 50, 48 and 12 respectively. The standard deviation of their runs are 15, 12 and two respectively. obtain out who is the most consistent batsman.

6. compute Quartile Deviation from the subsequent data.

Size : two four six eight 10 12 14 16 18 20
Frequency : two nine 11 14 20 24 20 16 five 2

7. provided :

Series X Series Y
Mean 18 100
Std. Deviation 14 20

Coefficient of correlation ranging from X & Y --> 8. obtain out the most probable value of Y if X is 70 and that of X if Y is 90.

8. compute weighted aggregative index from the subsequent data.

Commodity volume Price in Year Price in Year
2000 2005

A 12 10 16
B 10 20 25
C 20 five 8
D one seven 14

9. compute the rank correlation from the subsequent.

X: 75 88 95 70 60 80 81 50
Y: 120 134 150 115 110 140 142 100

part – C

ans any 3 ques.. every ques. carries fifteen marks: 3x15=45

10. The subsequent info provide relative values of 2 variables.
X: 42 44 58 55 89 98 66
Y: 56 49 53 58 65 76 58

obtain out:
i) The 2 regression equations.
ii) Coefficient of correlation ranging from X & Y.
iii) Most probable value of X when Y = 60.

11. obtain out by calculating coefficient of variation, which of the subsequent 2 series has more variation?

Age : 1-10 10-20 20-30 30-40 40-50 50-60 60-70

Population in
thousands

City A : 18 16 15 12 10 five 2
City B : 10 12 14 32 29 11 3

12. compute the coefficient of correlation and probable fault ranging from the 2 series.

A: 10 28 49 50 70 75 98 100 110 120.
B: 112 110 75 60 55 50 40 30 20 10.

13. Construct Fisher’s Index from the subsequent.


Item Base year Qty. Current Year Qty. Base Year Current Year
Kgs. Kgs. Price per Kg. Price per Kg.
(Rs.) (Rs.)

Wheat 20 20 12 14

Rice 22 24 16 18

Gram 20 18 32 36

Pulses eight 12 29 29

Ghee one two 62 70

Sugar five four 14 16

Also verify Index for Time Reversal and Factor Reversal Tests.










14. obtain out the Mean and Median marks from the subsequent.

Marks beneath : 10 20 30 40 50 60 70 80

No. of Students : 25 40 60 75 95 125 190 240

Also ascertain the value of Mode using the empirical relationship.

Earning:   Approval pending.