Bangalore University 2006-2nd Sem B.Com - Question Paper

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) What are the limitations of Range?
e) Give the meaning of Regression.
f) Mention any 4 advantages of Arithmetic Mean?
g) What is meant by weighted Arithmetic Mean?
h) Give the meaning of Time Reversal Test.
i) What is an index number?
j) Give 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 2 3 4 5 6 7 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: 4 6 8 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 5 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 : 2 four 6 8 10 12 14 16 18 20
Frequency : 2 9 11 14 20 24 20 16 5 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 Quantity Price in Year Price in Year
2000 2005

A 12 10 16
B 10 20 25
C 20 5 8
D 1 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 8 12 29 29

Ghee 1 2 62 70

Sugar 5 4 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.