B.Com-COMMERCE 2nd Sem BUSINESS STATISTICS(Bangalore University, Bangalore-2008)

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

Time : 3 hours Max. Marks: 90

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

Section - A
Answer any ten Sub-question from the following. Each sub-question carries two marks (10x2=20)

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

SECTION –B

Answer any five questions. Each question carries 5 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
Find the average number of books issued to a student of the class
3. Calculate the value of median from the following 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 following date:
Marks : 1-5 6-10 11-15 16-20 21-25
No of students: 6 9 15 12 8

5. Calculate mean deviation from mean of the following 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 following 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 two subjects A and B are given below; the two numbers with in the brackets denoting the ranks of the same 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)
Find out correlation co efficient

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

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





SECTION –C

Answer any three questions. Each question carries 15 marks. (3 X 15=45)

10. Marks secured by eleven students in two subject are given below

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
Calculate Karl Person’s co-efficient of correlation and the probable error.


11. The following are the runs scored by two 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 following data relate to marks obtained by 250 students in accountancy and statistics in B.Com examination of a university.

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

Co-efficient correlation between marks in Accountancy and Statistics is +0.8.
i) Find two regression equations
ii) Estimate the marks obtained by a student in Statistics who secured 50 marks in accountancy and
iii) Estimate the marks obtained 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 given below. 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