Bangalore University 2008 B.B.A BUSINESS STATISTICS I - Question Paper

II Semester B.B.M. Examination, May/June 2008

BUSINESS STATISTICS I

Time : three Hours Max. Marks : 90

PART - A

ans any 10 ques.. every carries two marks. (10x2=20)

1. a) elaborate the requisites of a good avg. ?
b) State any 4 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. obtain mean.
f) List out the merits of Mode.
g) elaborate the uses of Index Numbers ?
h) describe the term "Regression".
i) elaborate limitations of Bar diagrams ?
j) A learner computed 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 computation.
k) What is a base year ?
l) obtain the modal value from the subsequent data :
Value : 12-18 18-24 24-30 30-36 36-42
Frequency : five 12 22 10 3

PART - B

ans any 5 ques.. every carries five marks. (5x5=25)

2. compute mean deviation and its co-efficient value for the subsequent series.

Marks found 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. subsequent info relates to 2 batsman A and B.
Batsman 'A' Batsman 'B'
No. of innings played 10 10
avg. runs scored per innings 45.5 52.5
Standard Diviation 10 11

obtain 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 subsequent 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 discuss its importance.

7. Distinguish ranging from graphs and diagram and write the importance of diagrams.

8. find 2 regression equations from the subsequent :
'x' series 'y' series
Mean 36 85
Variance 121 64
Correlation co-efficient ranging from X and Y = + 0.66

9. compute 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

ans any 3 ques.. 15 marks every. (3x15=45)

10. calculate Karl Pearson's co-efficient of correlation ranging from per capita income and per capita consumer expenditure from the data provided beneath.

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 subsequent data compute Arithmatic mean, median and mode.

Marks found 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 pattern values by the method of lowest squares from the subsequent data. Show the true time and pattern line on graph.

Year 1999 2000 2001 2002 2003 2004 2005
Values 75 67 68 65 50 54 41

13. From the data provided beneath obtain :

a) The 2 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 subsequent data compute 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

Earning:   Approval pending.