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Posted By: Jyothi Member Level: Diamond Posted Date: 19 Dec 2007
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2007 Bangalore University B.B.M Business Statistics Question paper
II Semester B.B.M. Examination, May/June 2007
(Semester Scheme)
BUSINESS STATISTICS (Paper - 2.3)
Time : 3 Hours Max. Marks : 90
Instruction : Answers should be written in English only.
PART - A
Answer any 10 questions. Each carries 2 marks. (10x2=20)
1. a) What are the requisites of a good average ?
b) State any four limitations of Statistics.
c) What is a Pie-chart ? Under what circumstances it is used ?
d) State the utilities of Time series.
e) Co-efficient of variation of a series is 58% and its standard deviation is 21.2. Find mean.
f) List out the merits of Mode.
g) What are the uses of Index Numbers ?
h) Define the term "Regression".
i) What are limitations of Bar diagrams ?
j) A student calculated the regression co-efficient of x on y as - 1.25 and regression co-efficient of y on x as - 2.40. Comment on his calculation.
k) What is a base year ?
l) Find the modal value from the following data :
Value : 12-18 18-24 24-30 30-36 36-42
Frequency : 5 12 22 10 3
PART - B
Answer any five questions. Each carries 5 marks. (5x5=25)
2. Calculate mean deviation and its co-efficient value for the following series.
Marks obtained No. of students
10-12 5
12-14 8
14-16 12
16-18 20
18-20 7
20-22 10
22-24 11
24-26 15
26-28 10
3. Following information relates to two batsman A and B.
Batsman 'A' Batsman 'B'
No. of innings played 10 10
Average runs scored per innings 45.5 52.5
Standard Diviation 10 11
Find out : A) Who is better run getter ?
B) Who is consistent batsman ? Use co-efficient of variation.
4. "Statistics is the science of counting". Comment.
5. From the following data draw a histogram and locate mode graphically.
Wages
in Rs. 10-20 20-30 30-40 40-50 50-60 60-70 70-80
No. of
Workers : 60 140 110 150 120 100 90
6. What is Spearman's Rank correlation ? Briefly explain its importance.
7. Distinguish between graphs and diagram and write the importance of diagrams.
8. Obtain two regression equations from the following :
'x' series 'y' series
Mean 36 85
Variance 121 64
Correlation co-efficient between X and Y = + 0.66
9. Calculate the Quartile deviation :
Value 15-25 25-35 35-45 45-55 55-65 65-75 75-85 85-95
Frequesncy 32 38 45 98 122 80 50 25
PART - C
Answer any three questions. 15 marks each. (3x15=45)
10. Compute Karl Pearson's co-efficient of correlation between per capita income and per capita consumer expenditure from the data given below.
Year 1990 91 92 93 94 95 96 97 98 99
Per capita 249 251 248 252 258 269 271 272 280 275
Income
Per capita 237 238 236 240 245 255 254 252 258 251
Expenditure
11. From the following data calculate Arithmatic mean, median and mode.
Marks obtained No. of Students
0-10 22
10-20 34
20-30 52
30-40 87
40-50 44
50-60 49
60-70 40
70-80 34
80-90 44
90-100 24
12. Determine the trend values by the method of least squares from the following data. Show the actual time and trend line on graph.
Year 1999 2000 2001 2002 2003 2004 2005
Values 75 67 68 65 50 54 41
13. From the data given below find :
a) The two regression equations.
b) The most likely marks in statistics when marks in income tax are 50.
c) The co-efficient of correlation with BXY and BYX.
Marks in Income 35 37 28 42 48 54 65 40 35 50
Tax
Marks in statistics 60 55 75 70 80 35 65 35 50 60
14. From the following data calculate the price index number using:
a) Laspeyer's method
b) Fisher's Ideal Index number
c) Also show how it satisfies time reversal and factor reversal tests.
Commodities
Year Wheat Rice Pulses Jowar Gram
qty value qty value qty value qty value qty value
kg. rs. kg. rs. kg. rs. kg. rs. kg. rs.
2000 40 320 75 675 20 400 20 160 10 200
2001 50 500 100 1300 25 550 30 300 20 500
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