Bangalore University 2008-2nd Sem B.Com e- Commerce, Business Statistics - Question Paper

II Semester B.Com Examination, June 2008
(Semester Scheme)
Commerce
Business Statistics

Time : three hours Max. Marks: 90

Instruction: ans should be written fully in English or in Kannada

part - A
ans any ten Sub-question from the subsequent. every sub-question carries 2 marks (10x2=20)

1.
a. elaborate statistics?
b. What is a current year?
c. What do you mean by FRT?
d. What is mean deviation?
e. State the different measures of central tendency.
f. State the difference ranging from correlation and regression.
g. If X- =38.2, M= 41.6, fine Z.
h. What purpose does cost of residing index number serve?
i. If r=0.62, ?x= 10.5 ?y= 8.5, obtain b yx.
j. Under what circumstances would it be improper to use median.
k. What is questionnaire?
l. How range is computed.

part –B

ans any 5 ques.. every ques. carries five marks. (5X5=25)

2. In a class the number of books issued to the students form the library were as follows:
No of books issued : 0 1 2 3 4 5 6 7
No of students : 7 12 10 7 6 4 3 1
obtain the avg. number of books issued to a learner of the class
3. Calculate the value of median from the subsequent data:
Marks : 1-5 6-10 11-15 16-20 21-25 No of students: 6 9 15 12 8

4. Calculate Quartile Deviation from the subsequent date:
Marks : 1-5 6-10 11-15 16-20 21-25
No of students: 6 9 15 12 8

5. compute mean deviation from mean of the subsequent data:

Class : 10 20 30 40 50 60 70
No of students: 4 10 20 40 48 55 60

6. Construct the consumer price index number for 2007 on the basis of 2002 from the subsequent data using Family Budget method.
Commodity Quantity consumed Price (Rs).
2002 2002 2007

A 12 20 60
B 8 40 45
C 4 70 80
D 9 70 90
E 5 20 40
F 2 200 200

7. The ranks of the 15 students in 2 subjects A and B are provided below; the 2 numbers with in the brackets denoting the ranks of the identical students in A and B respectively.
(1,10), ( 2,7), (3,2), (4,6), (5,4), (6,8), ( 7,3), (8,1), (9,11), ( 10,15), (11,9), (12,5). (13,14), (14,12), (15,13)
obtain out correlation co efficient

8. Calculate standard deviation for the subsequent data;
Mid Point : 1 2 3 4 5 6 7 8 9
Frequency : 6 45 103 147 205 160 80 40 4

9. obtain mode of the subsequent series :
Wages (Rs) :Below 250 250-500 500-700 750-1000 1000-1250 Above 1250 No of persons : 10 30 40 25 20 15





part –C

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

10. Marks secured by eleven students in 2 subject are provided beneath

Subject A :71 66 68 67 71 70 73 70 72 66 65
Subject B :69 65 64 63 62 65 64 65 66 62 59
compute Karl Person’s co-efficient of correlation and the probable fault.


11. The subsequent are the runs scored by 2 batsman A and B in ten innings

A : 101 0 27 82 36 45 13 7 65 14
B : 97 40 12 13 96 8 8 85 56 15

Who is the better run getter? Who is the more consistent batsman?


12. The subsequent data relate to marks found by 250 students in accountancy and statistics in B.Com exam of a university.

Subject Arithmetic mean Variance
Accountancy (x) 48 16
Statistics (y) 55 25

Co-efficient correlation ranging from marks in Accountancy and Statistics is +0.8.
i) Find 2 regression equations
ii) Estimate the marks found by a learner in Statistics who secured 50 marks in accountancy and
iii) Estimate the marks found in Accountancy, when marks in statics 65.


13. Find the missing frequencies if the value of median is 30.5 and N=120.

Group : 20-25 25-30 30-35 35-40 40-45 45-50 50-55 55-60
Frequency : 8 15 58 ? 22 ? 4 2






14. Construct with the help of the data provided beneath. Fisher’s Ideal Index and show how it satisfies the TRT and FRT.
Commodity Base Year Current Year
Price (Rs). Quantity Price (Rs) Quantity

Wheat 8 75 15 80
Ghee 20 10 25 12
Fire wood 2 20 4 25
Sugar 4 10 6 14
Cloth 1 50 3 40

Earning:   Approval pending.