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P.T.O.
MAR IVANIOS COLLEGE (AUTONOMOUS)
THIRUVANANTHAPURAM
Reg. No. :.………………… Name:………………….
Third Semester B.Voc. Degree Examination, November 2016
First Degree Programme under CSS
General Course VII: (for Software Development)
AUSD361: Business Statistics
Time: 3 Hours Max. Marks: 80
SECTION A
Answer ALL questions in one or two sentences.
1. What is Statistics
2. What is Mode
3. What do you mean by Time Series Analysis
4. Define Tabulation.
5. What is Range
6. Define Correlation.
7. What is Linear Regression
8. What is Time Reversal Test
9. What do you mean by Sample
10. Mention any three names of Arithmetic averages.
(10 1 10 Marks)
SECTION B
Answer any EIGHT questions, not exceeding a paragraph of 50 words.
11. What is Spatial Data Give examples.
12. What are the objectives of classification
13. What are Pictograms and Cartograms
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14. Discuss the different types of Correlation.
15. State the major problems in constructing Index Numbers.
16. What are the components of a Time Series
17. Given the following frequency distribution, calculate the arithmetic mean.
Marks:
64
63
62
61
60
59
Number of Students:
8
18
12
9
7
6
18. Draw a frequency polygon for the following data.
Weight (in kg)
Number of Students
30 35
4
35 40
7
40 45
10
45 50
18
50 55
14
55 60
8
60 65
3
19. Find Karl Pearson's coefficient of correlation from the following data between height of father and son
X
64
65
66
67
68
69
70
Y
66
67
65
68
70
68
72
Comment on the result.
20. What is a Scatter Diagram
21. What is Consumer Price Index
22. Calculate Kelly's Price Index Number for the following data
Commodity
Quantity
Price
1996
1997
A
20
2
4
B
15
5
6
C
8
3
2
2 16 Marks)
SECTION C
Answer any SIX questions, in a page of 100 words.
23. Briefly discuss the limitations of statistics.
24. Discuss the concept of a Frequency Polygon.
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25. Draw an ogive for the following frequency distribution and hence find median.
Marks Number of students
0 10 5
10 20 4
20 30 8
30 40 12
40 50 16
50 60 25
60 70 10
70 80 8
80 90 5
90 100 2
26. Represent the following data by a sub divided bar diagram.
Expenditure Items
Monthly Expenditure (in Rs.)
Family A Family B
Food 75 95
Clothing 20 25
Education 15 10
Housing Rent 40 65
Miscellaneous 25 35
27. Find the Combined mean of the following data
n1 20, x1= n2 30, x2= 3
28. What are the limitations of Correlation Coefficient Give an example.
29. Find r if 2 regression coefficients are:
5
4
1 b and
20
9
2 b
30. In a correlation study, the following values are obtained
X Y
Mean 65 67
S.D 2.5 3.5
Co efficient of correlation 0.8
Find the two regression equations that are associated with the above values.
31. What are the characteristics of Index Numbers
4 24 Marks)
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SECTION D
Answer any TWO questions, not exceeding four pages.
32. Discuss in detail the scope of statistics.
33. State and explain the methods of Business Forecasting.
34. Calculate the index number from the following data by applying
i). Bowley's price index
ii). Marshall Edgeworth price index
Commodity
Base year
Current year
Quantity
Price
Quantity
Price
A
10
3
8
4
B
20
15
15
20
C
2
25
3
30
35. For the following data, find the trend values by using the method of Least squares
Year
1990
1991
1992
1993
1994
Production (in tones)
50
55
45
52
54
Estimate the production for the year 1996.
15 30 Marks)