Other Bachelor Degree-Bachelor of Corporate Secretaryship BUSINESS STATISTICS (Alagappa University - Directorate of Distance Education-2012)

DISTANCE EDUCATION
B.C.S. DEGREE EXAMINATION, MAY 2012.
BUSINESS STATISTICS
(1999 onwards)
Time : Three hours Maximum : 100 marks
PART A — (5 × 8 = 40 marks)
Answer any FIVE questions.
All questions carry equal marks.
1. Discuss the characteristics and limitations of statistics.
2. What is questionnaire? Explain the qualities of a good questionnaire.
3. The monthly profits in rupees of 100 shops are distributed as follows :
Profits per shop : 0-10 10-20 20-30 30-40 40-50 50-60
Number of shop : 12 18 27 20 17 6
Draw a histogram for the data and draw the frequency polygon for it.
4. Calculate Geometric mean for the data given below :
Value(X) : 10 15 25 40 50
Frequency (F) : 4 6 10 7 3
5. Define arithmetic mean. What are its merits and demerits?
6. Find the rank correlation coefficient for percentage of marks secured by a group of students in maths and statistics.
Marks in Maths : 50 60 65 70 75 40 70 80
Marks in statistics : 80 71 60 75 90 92 70 50
7. You are the given the following data :
X Y
Arithmetic mean 36 85
Standard deviation 11 8
Correlation coefficient between X and Y 0.66.
(a) Find the two regression equations.
(b) Estimate the value of X when Y = 75.
8. List the difficulties in the construction of Index umber.
PART B — (4 × 15 = 60 marks)
Answer any FOUR questions.
All questions carry equal marks.
9. Describe the different methods of collecting primary data. What are the merits of these methods?
10. Explain the various types of diagrams used in statistics.
11. Calculate the arithmetic mean, median and mode
Daily profit in Rs. 150-200 200-250 250-300 300-350
No. of shops 10 20 30 25
Daily profit in Rs. 350-400 400-450 450-500
No. of shops 20 3 2  
12. Calculate Coefficient of Skewness by Karl Pearson’s
Method :
Profit in Rs. 10-20 20-30 30-40 40-50 50-60
Number of Companies 18 20 30 22 10
13. Calculate Karl Pearson’s coefficient of correlation from
the following data :
X : 6 8 12 15 18 20 40 37
Y : 10 17 16 14 12 18 15 30
14. Calculate Fisher’s Quantity index from the following data and comment on it.
Commodity Base year Current year
Price (Rs.) Value Price (Rs.) Value
A 10 200 12 300
B 8 108 10 220
C 20 160 25 250
D 18 144 20 140
E 35 280 30 300
15. Fit a straight line trend for the following series. Estimate the value for 2007.
Year : 2000 2001 2002 2003 2004 2005 2006
Production of steel
(m. tonnes) : 60 72 75 65 80 85 95

Earning:  ₹ 7.95/-