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Posted By: Mala Member Level: Diamond Posted Date: 21 Nov 2007
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2006 Bangalore University B.Com II Semester Examination Question paper
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II Semester B.Com. Examination, May/June 2006
Semester Scheme
COMMERCE
Business Statistics
Time: 3 Hours Total Marks : 90
Instruction: Answers should be written fully in English or Kannada.
SECTION – A
Answer any ten questions from the following. Each question carries two marks: 10x2=22
1. a) Define statistics.
b) What is an inclusive series? Give 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 four 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 four 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?
SECTION – B
Answer any five questions. Each question carries five marks : 5x5=25
2. Calculate Mean, Median and Mode from the following.
Roll No.: 1 2 3 4 5 6 7 8
Age : 21 18 19 21 20 17 22 23
3. Find out the coefficient of Mean Deviation from the following 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 following group.
Variable : 28 30 32 34 36 38 40 42 44
Frequency : 10 12 16 14 10 8 17 5 4
5. The Arithmetic Mean of runs scored by three 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 2 respectively. Find out who is the most consistent batsman.
6. Calculate Quartile Deviation from the following data.
Size : 2 4 6 8 10 12 14 16 18 20
Frequency : 2 9 11 14 20 24 20 16 5 2
7. Given :
Series X Series Y
Mean 18 100
Std. Deviation 14 20
Coefficient of correlation between X & Y --> 8. Find out the most probable value of Y if X is 70 and that of X if Y is 90.
8. Calculate weighted aggregative index from the following 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 7 14
9. Calculate the rank correlation from the following.
X: 75 88 95 70 60 80 81 50
Y: 120 134 150 115 110 140 142 100
SECTION – C
Answer any three questions. Each question carries fifteen marks: 3x15=45
10. The following information gives relative values of two variables.
X: 42 44 58 55 89 98 66
Y: 56 49 53 58 65 76 58
Find out:
i) The two regression equations.
ii) Coefficient of correlation between X & Y.
iii) Most probable value of X when Y = 60.
11. Find out by calculating coefficient of variation, which of the following two 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 5 2
City B : 10 12 14 32 29 11 3
12. Calculate the coefficient of correlation and probable error between the two 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 following.
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. Find out the Mean and Median marks from the following.
Marks below : 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.
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