Periyar University 2007 B.Com Computer Science BUSINESS STATISTICS - Question Paper

B.Com. (CA) DEGREE EXAMINATION, OCTOBEEVNOVEMBER 2007.
First Semester
BUSINESS STATISTICS
Time : 3 hours Maximum : 100 marks
part A — (5 x eight = 40 marks)
ans any 5 ques..
All ques. carry equal marks.
1. What are the different sources of secondary data?
2. Explain the merits of sampling.
3. What are the different kinds of averages?
4. Explain the various methods of variation.
5. Blood Serum cholesterol levels of 10 persons are as under :
240, 260, 290, 245, 255, 288, 272, 263, 277, 251
compute standard deviation with the help of the presumed mean

6. The Ranking of 10 students in 2 subjects A and
B are as follows :
A:653 10 238491
B:3 eight 4916 107 five 2
compute Rank Correlation coefficient.
7. The values of X and Y are provided beneath :
X: 5 6 9 11
Y: 12 10 14 16
obtain the value of Y when X = 10 by using Lagrange's method.
8. From the subsequent data ascertain the pattern by the
method of semi-averages :
Year : 1997 1998 1999 2000 2001 2002 2003
Production
(in million tonnes): 100 120 95 105 108 102 112
part B — (3 x 20 = 60 marks)
ans any 3 ques..
All ques. carry equal marks.
9. Calculate Median and Mode of the data provided
beneath using them obtain arithmetic mean.
Marks: 10 20 30 40 50 60
No. of students : eight 23 45 65 75 80
10. From the subsequent table compute the coefficient
of correlation by Karl Pearson's method :
X: 6 two 10 four 8
Y: 9 11 5 8 7
11. You are provided beneath the subsequent info
about advertising and sales :
Adv. Exp. (X) Sales (Y)
(Rs. crore) (Rs. crore)
Mean 10 90
S.D. 3 12
Correlation coefficient = 0.8
(a) Calculate the 2 regression lines.
(b) Find the likely sales when advertisement expenditure is Rs. 15 crore.
12. Construct index number by applying Fisher's Ideal
Method.
Commodity 2002 2003
Price Quantity Price volume
A 2 8 4 6
B 5 10 6 5
C 4 14 5 10
D 2 19 2 13
13. The subsequent table relates to the tourist arrivals (in millions) during 1997 to 2003 in India.
Years : 1997 1998 1999 2000 2001 2002 2003
Number: 18 20 23 25 24 28 30
Fit a straight line pattern by the method of lowest squares and estimate the number of tourists that would arrive in the year 2007.

Earning:   Approval pending.