DISTANCE EDUCATION
B.B.A. (Banking)/ B.B.A. (Banking) (Lateral) DEGREE
EXAMINATION, MAY 2016.
BUSINESS STATISTICS
(2005 onwards)
Time Three hours Maximum 100 marks
SECTION A — 8 40 marks)
Answer any FIVE questions.
All questions carry equal marks.
1. Define statistics. Explain its scope.
2. Explain the empirical relationship between mean,
median and mode.
3. Calculate the mean deviation from the mean for the
following data
Size 2 4 6 8 10 12 14 16
Frequency 2 2 4 5 3 2 1 1
4. Calculate Bowley's co-efficient of skewness from the data
given below
Profit lakhs) Less than 10 20 30 40 50 60 70
No. of companies 8 20 40 50 56 59 60
Sub. Code
23
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5. Find out Spearman's rank correlation for the following
data
Price of Tea 75 88 95 70 60 80 81 50
Price of Coffee 120 134 150 115 110 140 142 100
6. Describe the significance of interpolation with suitable
example.
7. Compute cost of living index from the following data
Food Fuel Clothing Rent Others
Index number 704 440 460 320 380
Weight 48 10 8 12 15
8. Describe the factors influencing
Seasonal variation and
Cyclical variation.
SECTION B — 15 60 marks)
Answer any FOUR questions.
All questions carry equal marks.
9. Describe the different methods of computing co-efficient
of skewness.
10. Calculate the median and mode from the following data
Central size 15 25 35 45 55 65 75 85
Frequencies 5 9 13 21 20 15 8 3
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11. Find out standard deviation for the following data
Marks No.of students Marks No.of students
0-10 5 40-50 50
10-20 12 50-60 37
20-30 30 60-70 21
30-40 45
12. Calculate Karl Pearson's co-efficient of Skewness
Variable Frequency Variable Frequency
70-80 11 30-40 21
60-70 22 20-30 11
50-60 30 10-20 6
40-50 35 0-10 5
13. Calculate the Karl Pearson's correlation co-efficients
between x and y .
x 23 27 28 28 29 30 31 33 35 36
y 18 20 22 27 21 29 27 29 28 29
14. The following are the annual premiums charged by the
life insurance corporation of India for a policy of 1000.
Calculate the premium payable at the age of 26 applying
Newton's method.
Age (years) 20 25 30 35 40
Premium 23 26 30 35 42
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15. Compute the 3-yearly moving average from the following
data
Year Production (in tonnes) Year Production (in tonnes)
1998 15 2006 63
1999 21 2007 70
2000 30 2008 74
2001 36 2009 82
2002 42 2010 90
2003 46 2011 95
2004 50 2012 102
2005 56