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P.T.O.
MAR IVANIOS COLLEGE (AUTONOMOUS)
THIRUVANANTHAPURAM
Reg. No. :.………………… Name :.………………….
Third Semester B.Com. Degree Examination, November 2016
First Degree Programme under CBCSS
Complementary Course III: (for Commerce)
AUCO331: Business Statistics
for 2014 Admissions Improvement Only
Time: 3 Hours Max. Marks: 80
SECTION A
Answer ALL questions in one or two sentences.
1. Define Statistics.
2. What is Geometric Mean
3. What do you mean by Probable Error
4. What is meant by Stratified sampling
5. What is Linear Regression
6. Define Factor Reversal Test.
7. What do you meant by Variance
8. What is secular trend
9. What is classical probability
10. Define a Random Variable.
(10 1 10 Marks)
SECTION B
Answer any EIGHT questions, each in a short paragraph not exceeding 50 words.
11. Differentiate Questionnaires from Schedules.
12. List out the objectives of measuring dispersion.
13. Explain the utility of Regression analysis.
14. What are the methods of measuring trends
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15. What do you mean by Axiomatic approach to probability
16. What do you meant by Law of Statistical Regularity
17. Calculate the Harmonic mean from the following:
250 75 25 15 10 5
18. The mean marks of 100 students were found to be 50. Later on it was discovered that a score of 87 was misread as 78. Find the correct mean.
19. Distinguish between mean median
20. Find out the Probable Error if r 0.6 and n 64.
21. From the following series determine the value of range and its co efficient.
Marks 10 20 30 40 50 60 70 80
No. of Students 3 6 5 7 9 4 8 7
22. Determine the value of median from the following items.
Income 110 115 140 117 109 113 120
2 16 Marks)
SECTION C
Answer any SIX questions, each in a paragraph not exceeding 120 words.
23. Differentiate between mean deviation and standard deviation.
24. What are the merits and demerits of moving average method
25. What are the characteristics of Fisher's ideal index
26. Distinguish between Correlation and Regression Analysis.
27. Explain different measures of central tendency
28. Briefly explain the role of statistics in business decision making
29. Find a four yearly moving average and the centered four year moving average from the following data:
Year 2000 2001 2002 2003 2004 2005 2006 2007
Out put 301 454 393 414 424 464 466 492
30. From the following data calculate Fisher's Ideal Index Number and see whether it satisfies both Time Reversal and Factor Reversal Tests. Take 2000 as base year.
Commodity
2000
2006
Price
Expenditure
Price
Expenditure
A
B
C
D
6
7
10
4
30
49
80
20
12
11
15
10
84
66
75
60
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31. From the following data gives the age and blood pressure of 10 persons:
Age 56 42 36 47 49 42 60 72 63 55
Blood Pressure: 147 125 118 128 145 140 155 160 149 150
4 24 Marks)
SECTION D
Answer any TWO questions, not exceeding four pages.
32. What is sampling methods Explain the important methods to select a sample.
33. What do you mean by Index Numbers Explain the different types of Index Numbers.
34. The marks of 9 students in two tests are given below. Calculate the co efficient of correlation by the method of rank difference.
Test I 50 60 65 50 55 60 50 30 40
Test II 10 20 25 15 20 30 35 5 7
35. Briefly explain Time Series analysis With the help of example, explain the different method of measuring Trend
15 30 Marks)