Business Statistics Objective Set 4

1. Who stated that statistics is a branch of applied mathematics which specializes in data?

1. Horace Secrist
2. R. A. Fisher
3. Ya-lun-chou
4. L. R. Connor[Ans]

2. If the quartile deviation of a series is 60, the mean deviation of this series is

1. 72[Ans]
2. 48
3. 50
4. 75

3. Which measure of dispersion is least affected by extreme values?

1. range
2. mean deviation
3. standard deviation
4. quartile deviation[Ans]

4. If the minimum value in a set is 9 and its range is 57, the maximum value of the set is

1. 33
2. 66[Ans]
3. 48
4. none of the above

5. The range of values for the frequency distribution given in the following frequency distribution is:-
Classes Frequency
2-4 2
4-6 5
6-8 4
8-10 1

1. 2
2. 10
3. 8[Ans]
4. 6

6. The range of the set of values, 15, 12, 27, 6, 9, 18, 21, is

1. 21[Ans]
2. 4.5
3. 0.64
4. 3

7. For the table given as follows, calculate the coefficient of quartile deviation:-
Classes Frequency
2-4 2
4-6 5
6-8 4
8-10 1

1. 4.385
2. 0.228[Ans]
3. 2.6
4. 11.4

8. The coefficient of range for the values 15, 12, 27, 6, 9, 18, 21 is:-

1. 1.571
2. 4.500
3. 0.636[Ans]
4. 0.222

9. If p=l, the angle between the two lines of regression is

1. zero degree[Ans]
2. ninety degree
3. sixty degree
4. thirty degree

10. To test the linearity of a regression equation, one needs

1. error S. S. other than residual S.S.
2. residual S.S.
3. both (a) and (b)[Ans]
4. neither (a) nor (b)

11. Regression coefficient is independent of the change of

1. scale
2. origin[Ans]
3. both origin and scale
4. neither origin nor scale

12. Let the coefficient of correlation be 0.7. then the coefficient of alienaton is

1. 0.51
2. 0.71[Ans]
3. 0.49
4. none of the above

13. The number of categories in which the potential parameters of a model can be specified are

1. one
2. two[Ans]
3. three
4. four

14. Cycles in a time series are regular in

1. periodicity
2. amplitude
3. both (a) and (b)
4. neither (a) nor (b)[Ans]

15. Moving average method of ascertaining trend is not suitable for

1. finding trend values
2. projections[Ans]
3. both (a) and (b)
4. neither (a) nor (b)

16. Simple average method is used to calculate

1. trend values
2. cyclic variations
3. seasonal indices[Ans]
4. none of these

17. In case of multiplicative model, the sum of seasonal indices is

1. 100 times the number of seasons
2. Zero
3. 100
4. None of the above [Ans]

18. In ratio to trend method the median of the trend free indices for each period represents

1. the seasonal indices[Ans]
2. cyclic variation
3. irregular variation
4. none of the above

19. Ratio to trend method for seasonal indices provides good results if

1. the periods are of long duration[Ans]
2. the periods are given six monthly
3. the periods are of short duration
4. all the above situations
5. The best method for finding out seasonal variation is
6. simple average method
7. ratio to moving average method[Ans]
8. ratio to trend method
9. none of the above
10. The moving averages in a time series are
11. seasonal and cyclic variations[Ans]
12. seasonal and irregular variations
13. trend and cyclical variations
14. trend and random variations
15. Link relative in a time series remove the influence of
16. the trend
17. cyclic variations[Ans]
18. irregular variations
19. all the above
20. Cyclic variations are interwoven with
21. trend
22. seasonal variations[Ans]
23. irregular variations
24. all the above
25. Graphically cycles of a time series are identifiable through
26. troughs and crests[Ans]
27. concave and convex
28. cups and crests
29. all the above
30. In percentage ratio method of measuring cyclic variations one finds
31. actual changes
32. relative changes
33. per cent ratio changes[Ans]
34. all the above
35. A time series is affected by
36. economic factors
37. non-economic factors
38. both (a) and (b)[Ans]
39. neither (a) nor (b)
40. Irregular variations are
41. regular
42. cyclic
43. episode[Ans]
44. all the above
45. Trend can not be
46. linear
47. non-linear
48. S-shaped in a short duration[Ans]
49. None of these
50. Method of least squares for determining trend is used when
51. trend is known[Ans]
52. trend is curvilinear
53. the value Y is not a function of time t
54. none of the above
55. If the slope of the trend line is positive, it shows
56. rising trend[Ans]
57. declining trend
58. stagnation
59. any of the above
60. To which component of the time series, the term recession is attached?
61. trend
62. seasonal
63. cycles[Ans]
64. random variation
65. The probability of all possible outcomes of a random experiment is always equal
66. to
67. infinity
68. zero
69. one[Ans]
70. none of the above
71. In tossing three coins at a time the probability of getting at most one head is
72. 3/8[Ans]
73. 7/8
74. 1/2
75. 1/8
76. The probability of two persons being borned on the same day (ignoring date) is
77. 1/49
78. 1/365
79. 1/7[Ans]
80. none of the above
81. Three dice are rolled simultaneously. The probability of getting 12 spots is
82. 1/8[Ans]
83. 25/216
84. 1/12
85. none of the above
86. The probability of throwing an odd sum with two fair dice is
87. 1/4
88. 1/16
89. 1
90. 1/2[Ans]
91. The probability that a leap year will have 53 Sunday is
92. 1/7
93. 2/7[Ans]
94. 2/53
95. 52/53

38. With a pair of dice thrown at a time, the probability of getting a sum more than that of 9 is

1. 5/18[Ans]
2. 7/36
3. 5/6
4. none of the above

39. An urn contains four tickets marked with numbers 112, 121, 211, 222 and one ticket is drawn at random. Let Ai (I = 1, 2, 3) be the event that i^th digit of the number of the ticket drawn is 1. Are the events A1, A2 and A3:-
a) Dependent[Ans]
b) Independent
c) Mutually exclusive
d) None of the above
40. A group consists of 4 men, 3 women and 2 boys. Three persons are selected at random. The probability that two men are selected is

1. 3/28
2. 7/28
3. 5/28[Ans]
4. 5/14