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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
Time: 3 Hours Max. Marks: 80
SECTION A
Answer ALL questions in one or two sentences.
1. Define Statistics
2. What is meant by Variance
3. What is meant by Sensitive Index
4. What is meant by Stub
5. What is a Histogram
6. Define Geometric Mean
7. What is Curvilinear Correlation
8. What is an Explanatory Variable
9. Define Time Series
10. What is Sampling Error
(10 1 10 Marks)
SECTION B
Answer any EIGHT questions, each in a short paragraph not exceeding 50 words.
11. Mention any two functions of Statistics.
12. List out the methods of collecting Primary Data.
13. Explain the Law of Inertia of Large Numbers.
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14. What is Scatter Diagram What are its merits
15. What is Coefficient of Determination
16. What is Spliced Index number
17. The mean weight of 150 students in a class is 60 kg. The mean weight of boys in the class is 70 kg and that of girls is 55 kg. Find the number of girls in the class.
18. Calculate geometric mean of the following:
Marks: 10-25 25-40 40-55 55-70 70-85 85-100
No. of Students: 6 22 44 26 3 1
19. The arithmetic mean and standard deviation of series of 20 items were calculated by a student as 20 cm and 5 cm, respectively. But while calculating them an item 13 was misread as 30. Find the correct arithmetic mean and standard deviation.
20. In a question on correlation, the value of r is 0.917 and its probable error is 0.034. What would be the value of N
21. If two regression coefficients are 0.8 and 1.2, what would be the value of coefficient of correlation
22. Average rainfall of a city from Monday to Saturday is 0.3 inch. Due to heavy rainfall on Sunday, the average rainfall for the week increased to 0.5 inch. What was the rainfall on Sunday
2 16 Marks)
SECTION C
Answer any SIX questions, each in a paragraph not exceeding 120 words.
23. Explain Distrust of Statistics.
24. What are the precautions to be taken while using Secondary Data
25. Explain the properties of a good measure of dispersion.
26. Explain briefly about the utility of regression analysis.
27. Explain the components of Time Series.
28. Calculate Fisher's Ideal Index from the data and show that it satisfies time reversal test and factor reversal test.
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Commodity
2013
2014
Price
Quantity
Price
Quantity
A
10
49
12
50
B
12
25
15
20
C
18
10
20
12
D
20
5
40
2
29. Production of rice in a district during the last 10 years is given below:
Yr
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
Prdn
11200
12300
10600
13400
13800
14500
11600
14300
13600
15400
Using a 3 yearly moving average, indicate the trend in the population of rice in the district.
30. The Shareholders Research Centre of India has conducted recently a research study on price behavior of three leading industrial shares, B and C for the period 2007 to 2013, the results of which are published as follows in its Quarterly Journal:
Share
Average Price
Standard Deviation
Current Selling Price
A
18
5.4
36
B
22.5
4.5
34.75
C
24
6
39
The above figures are given in Rs.
i). Which share, in your opinion, appears to be more stable in value
ii). If you are the shareholder of all the three shares, which one would you like to dispose of at present and why
31. An enquiry into the budgets of middle class families in a certain city gave the following information:
Expenses
Food
35%
Fuel
10%
Clothing
20%
Rent
15%
Miscellaneous
20%
Prices in 2013
150
25
75
30
40
Prices in 2014
145
23
65
30
45
What is the cost of living index number of 2014 as compared to that of 2013
4 24 Marks)
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SECTION D
Answer any TWO questions, not exceeding four pages.
32. What do you mean by Index Numbers Explain briefly the different methods of constructing Index Numbers.
33. Following is the record of number of bricks laid each day for 10 days by two brick layers A and B. Find out who is more consistent in his performance.
A
700
675
725
625
650
700
650
700
600
650
B
550
600
575
550
650
600
550
525
625
600
34. Quotation of index number of security prices of a certain joint stock company and of process of preference shares and debentures are given below:
Pref Sh Price
73.2
85.8
78.9
75.8
77.2
81.2
83.8
Deb Price
97.8
99.2
98.8
98.3
98.3
96.7
97.1
Use the method of rank correlation to determine the relationship of preference share prices and debenture share prices.
35. The following table shows the ages and blood pressure of 8 persons.
52 63 45 36 72 65 47 25
62 53 51 25 79 43 60 33
Obtain the regression equation of Y on X and find the expected blood pressure of a person who is 49 years old.
15 30 Marks)