DISTANCE EDUCATION
B.B.A. (Banking)/B.B.A. (Banking) (Lateral) DEGREE
EXAMINATION, MAY 2018.
BUSINESS STATISTICS
(2005 onwards)
Time Three hours Maximum 100 marks
PART A — x 8 40 marks)
Answer any FIVE questions.
1. Define Statistics and explain the functions and
applications of Statistics in detail.
2. Describe the characteristics of different averages.
3. What is measures of dispersion also explain the
properties of a good measure of variation.
4. Explain briefly about different measures of skewness.
5. What is correlation analysis? Write its types with
example.
6. Explain the assumptions of interpolation and
extrapolation.
7. Explain the methods of constructing index numbers.
8. What are the measurement of cyclical variations? Explain
in detail.
Sub. Code
23
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PART B — x 15 60 marks)
Answer any FOUR questions.
9. Calculate the median from the following data
Weights (in gms) 410-419 420-429 430-439 440-449
No. of Apples 14 20 42 54
Weights (in gms) 450-459 460-469 470-479
No. of Apples 45 18 7
10. The annual salaries of a group of employees are given in
the following row.
Salaries (in Rs. 45 50 55 60 65 70 75 80
No. of person 3 5 8 7 9 7 4 7
Calculate the standard deviation of the salaries.
11. Calculate Karl Pearson's coefficient of skewness to the
given data.
Variable 0-10 10-20 20-30 30-40
Frequency 5 6 11 21
Variable 40-50 50-60 60-70 70-80
Frequency 35 30 22 11
12. The ranking of 10 students in two subjects A and B are as
follows
A 6 5 3 10 2 4 9 7 8 1
B 3 8 4 9 1 6 10 7 5 2
Calculate rank correlation coefficient.
13. The following are the annual premiums charged by an
insurance corporation for a policy of Rs. 10 lakh.
Calculate the premium payable at the age of 26.
Age in years 20 25 30 35 40
Premium (Rs. thousand) 23 26 30 35 42
(Apply Newton's method).
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14. Construct a cost of living index from the following indices,
the weights being food 55, rent 20, clothing 15, fuel and
lighting 15 and miscellaneous 5.
Year Food Rent Clothing Fuel and
lighting
Miscellaneous
2011 100 100 100 100 100
2012 105 104 98 100 110
2013 110 112 102 101 115
2014 112 115 105 103 120
15. Below are given the annual production figures (in
thousand tonnes) of a fertilizer factory.
Year 2005 2006 2007 2008 2009 2010 2011
Production 70 75 90 91 95 98 100
Fit a straight line trend by the method of least squares
and tabulate the trend values.