FYBCOM Elements of statistics MCQ with solutions part 1

FYBCOM UNIT I

Elements of statistics

Multiple choice questions:


1. In singular sense, Statistics means

a) Statistical methods used for collecting, analyzing and drawing inference from the numerical data.

b) Collection of statistical data

c) Science of data.

d) Summarization of data

2. Statistics is defined in terms of numerical data in the

a) Singular Sense

b) Plural Sense

c) Data sense

d) Natural sense

3. Which of the following statement is not true?

a) Statistics deal with quantitative data.

b) Statistics deal with qualitative data.

c) Statistics deal with both quantitative data and qualitative data 

d) Statistics does not cover graphical device.

4. The origin of statistics can be traced to

(a)  State      (b) Commerce       (c) Economics      (d) Industry.

5. The word 'Statistics' seems to have been derived from the Latin word ________.

a) statistik

b) statista

c) status

d) stata

6. Which of the following is not characteristic of statistical data?

a) They should be numerically expressed.

b) They should be placed in relation to each other.

c) They should be collected in systematic manner.

d) They may be liable to misused.

7. Exhaustive definition of Statistics in Plural Sense is given by _______

a) Horace Secrist 

b) Croxton and Cowden

c) Tuttle 

d) Karl Pearson 

8. _________has define statistics in singular sense.

a) Horace Secrist 

b) Croxton and Cowden

c) Tuttle 

d) Karl Pearson 

9. Which of the following is not function of statistics?

a) Statistics simplify unwieldy and complex data so that they can be easily understand

b) Statistics facilitate a comparative study of various phenomena.

c) Statistics can be used to measure uncertainty in the result.

d) Statistics can provide exact analysis.

10. Statistical methods can summarize or describe a collection of data. This is called ______ statistics.

a) Descriptive

b) Theoretical 

c) Applied 

d) Inferential 



11. Data patterns may be modeled in a way that accounts for randomness and uncertainty in the observations. These models can be used to draw inferences about the process or population under study is called ______ statistics. 

a) Descriptive

b) Theoretical 

c) Applied 

d) Inferential 

12. _____statistics comprises descriptive statistics and the application of inferential statistics.

a) Descriptive

b) Theoretical 

c) Applied 

d) Inferential 

13. ______statistics concerns both the logical arguments underlying justification of approaches to statistical inference, as well encompassing mathematical statistics.

a) Descriptive

b) Theoretical 

c) Applied 

d) Inferential 

14. Which of the following is limitation of statistics?

a) Statistics present the facts in proper form. 

b) Statistics simplify unwieldy and complex data and to make them easily understandable. 

c) Statistics helps in classification of data.

d) Statistical laws are not exact. On the basis of statistical analysis of the problem, one can talk only in terms of probability and not certainty.

15. Which of the following is not function of statistics? 

a) Statistics study the relationships between different phenomena.

b) Statistics indicate trend behaviour.

c) Statistical results are true only on an average

d) Statistics measure uncertainty.

16. Primary data for the research process can be collected through _______. 

a) Experiment   

b) Published source 

c) Unpublished source

d) News paper  

17. The data obtained by conducting a survey is called:

a) Primary data 

b) Secondary data 

c) Continuous data 

d) Qualitative data 

18. The data collected from published reports is known as:

a) Discrete data 

b) Arrayed data 

c) Secondary data 

d) Primary data

19. A survey in which information is collected from each and every individual of the population is known as:

a) Sample survey  

b) Pilot survey 

c) Biased survey 

d) Census survey



20. Data used by an agency which is originally collected them are: 

a) Primary data 

b) Raw data 

c) Secondary data

d) Grouped data 

21. Which form of data below can usually be obtained more quickly and at a lower cost than the others?

a) Primary 

b) Survey research 

c) Experimental research 

d) Secondary 

22. Secondary data are ________. 

a) Collected mostly via surveys 

b) Expensive to obtain 

c) Never purchased from outside suppliers 

d) Not always very usable 

23. Secondary data consists of information ________.

a) That already exists somewhere and was collected for another purpose 

b) Used by competitors 

c) That does not currently exist in an organized form 

d) That already exists somewhere and is outdated 

24. Which method could a marketing researcher use to obtain information that people are unable to provide? 

a) Focus groups 

b) Personal interviews 

c) Questionnaires 

d) Observational research 

25. Primary data is ___________. 

a) Always collected before secondary data 

b) Collected for the specific purpose at hand 

c) Information that already exists 

d) Data collected for other purposes

26. Which of the following is primary data?

a) Census of population data

b) Wholesale price Index numbers.

c) Statistics contain in an official publication such as the Reserved Bank of India Bulletin.

d) Data collected through your own field.

27. In case of a rail accident, the appropriate method of data collection is 

a) Direct Personal Investigation

b) Indirect Oral Investigation

c) Questionnaire sent through enumerators

d) Schedule send through enumerators 

28. The ______data should be used after careful scrutiny.

a) primary data

b) secondary data

c) ungrouped data

d) raw data

29. Which of the below is not secondary data.

a) Estimate of personal income taken from R.B.I. bulletin.

b) Data collected by sample survey.

c) Tabulation from schedules used in interviews that you yourself conducted.

d) Data from annual report of the Ministry of Law.



30. The data collected from published reports is known as: 

a) Discrete data 

b) Arrayed data 

c) Secondary data

d) Primary data

31. Which of the following is method of collecting primary data?

a) Published source

b) Information from correspondence.

c) Unpublished source

d) Official publication of semi-government organization 

32. Data on number of units demanded of particular product, are

a) Qualitative data

b) Discrete data

c) Continuous data

d) Categorical data

33. The data which are collected for the first time by/for an investigator for his purpose is known as _______.

a) Qualitative data

b) Discrete data

c) Primary data

d) Secondary data

34. The data which has been already been collected by someone else but used by investigator for his purpose is known as ________.

a) Qualitative data

b) Discrete data

c) Primary data

d) Secondary data

35. If an investigator himself fills the form of questions  by asking face to face questions to informants, it will be called______

a) Schedule

b) Questionnaire

c) Observations

d) Secondary data

36. If an investigator sending the form of questions to the informant and informant himself fills the form and sends it back, it will be called________

a) Schedule

b) Questionnaire

c) Observations

d) Secondary data

37. Which of the following method of primary data collection requires the informant should be literate?

a) Direct personal investigation

b) Information from correspondents

c) Mailed questionnaire method

d) Schedule send through enumerators

38. Which of the following method of primary data collection can be used if study area is narrow and accuracy is important?

a) Direct personal investigation

b) Information from correspondents

c) Mailed questionnaire method

d) Schedule send through enumerators




39. _________ is the process of arranging data into sequence and groups according to their common characteristics, or separating them into different but related parts.

a) Classification

b) Tabulation

c) Collection of data

d) Analysis of data

40. Which of the following is not base of classification?

a) Geographical classification

b) Chronological classification

c) Qualitative classification

d) Weighted classification

41. The population of certain country for different years is an example of ______classification

a) Geographical classification

b) Chronological classification

c) Qualitative classification

d) Quantitative classification 

42. The yield of agriculture output per hectare for different countries in some given period is an example of ______classification.

a) Geographical classification

b) Chronological classification

c) Qualitative classification

d) Quantitative classification 

43. If the data are classified into only two classes with respect to an attribute like presence or absence, the classification is called ________.

a) Geographical classification

b) Manifold classification

c) Simple classification

d) Quantitative classification

44. If the given population is divided into classes on the basis of simultaneous study of more than one attributes at a time, then also it is termed as________.

a) Geographical classification

b) Manifold classification

c) Simple classification

d) Quantitative classification

45. For the attribute intelligence the various classes may be, Genius, Very intelligent, average intelligent, below average and dull is an example of _________classification. 

a) Geographical classification

b) Manifold classification

c) Simple classification

d) Quantitative classification

46. Qualitative Character is called_____

a) Attribute

b) Variable

c) Constant 

d) Discrete variable

47. Chronological classification is also called ___________.

a) Time Series

b) Variable

c) Constant 

d) Attribute


48. Before using Secondary data one has to check for  ___________.

a) accuracy

b) reliability

c) Suitability 

d) All of these

49. Quantitative character is called______

a) Attribute

b) Variable

c) Constant 

d) Categorical variable

50. ‘Number of train arrived at platform on particular day’  is an example of ______

a) Attribute

b) Discrete Variable

c) Continuous variable

d) Categorical variable

51. ‘Temperature of city in particular month ‘ is an example of _____________

a) Attribute

b) Discrete Variable

c) Continuous variable

d) Categorical variable

52. A study of quantitative classification is term as ___________

a) Tabulation

b) Graph 

c) Diagram 

d) Frequency distribution

53. In tabulation, source of the data, if any, is shown in the _______

a) Source note

b) Body

c) Caption

d) Stub

54. The vital part of the table is called__________

a) Title

b) Body

c) Caption

d) Stub

55. The logical listing of related quantitative data in vertical columns and horizontal rows of numbers is called_______

a) Tabulation

b) Data collection

c) Graphical presentation 

d) classification

56. Which of the following is not essential part of statistical table?

a) Body

b) Stub

c) Caption

d) Attribute 

57. Row heading in statistical table is term as_________

a) Body

b) Stub

c) Caption

d) Attribute 

58. Column heading in statistical table is term as ______

a) Body

b) Stub

c) Caption

d) Attribute 

59. Actual numerical information can be presented in ______part of statistical table.

a) Body

b) Stub

c) Caption

d) Attribute 

60. _________gives explanation about the data contained in the major part of the table and it is placed below the title of the table.  Generally it is put in brackets.

a) Stub

b) Caption

c) Foot note

d) Head note

61. _______is must in Tabulation if the secondary data are used.

a) Classification 

b) Frequency distribution

c) Source note

d) Head note

62. Table cannot be classified as 

a) Primary table

b) Simple table

c) Complex table

d) Special purpose table 

63. _______gives information about two interrelated characteristics of a particular phenomenon.

a) Primary table

b) Secondary table

c) Two way table

d) Simple table

64. Table showing “contribution for a college trip according faculty wise Members: Students, non-teaching staff, teaching staff     Gender:  Male and Female   Faculty: Commerce, Science, Arts”  is ____

a) Complex table and Special purpose table

b) Three way table and General purpose table

c) Three way table and Special purpose table

d) Simple table and General purpose table

65. Table used to find normal probability is _______table.

a) Special purpose

b) General purpose

c) Primary

d) secondary

66. Frequency distribution of two variables is called______

a) Univariate frequency distribution

b) Bivariate frequency distribution

c) Manifold frequency distribution

d) Secondary frequency distribution 

67. For a sample of size 50 how many classes can be constructed?

a) 2

b) 4

c) 5

d) 6


68. Class width (class limit) is calculated as 

a) Maximum observation –minimum observation 

b) (Maximum observation –minimum observation)/2

c) (Maximum observation –minimum observation)/number of classes

d) (Maximum observation +minimum observation)/2

69. For a certain data set Maximum observation is 56, minimum observation is 12 and 5 classes to be constructed, then appropriate class interval is _______

a) 34

b) 22

c) 9

d) 10

70. The classes in which both the upper and lower limit are included in the class are called ______classes.

a) Inclusive

b) Exclusive 

c) Open end 

d) mixed 

71. The classes in which lower limit is included and upper limit is excluded from the class are called ___classes.

a) Inclusive

b) Exclusive 

c) Open end 

d) mixed 

72. If the lower limit of the first class or the upper limits of the last class are not specified then the frequency distribution is called______.

a) Ungrouped frequency distribution

b) Open end frequency distribution

c) Grouped frequency distribution

d) Unequal classed frequency distribution.

73. The classes  0-10, 10-25, 25-40, 40-50  is an example of _____.

a) Ungrouped frequency distribution

b) Open end frequency distribution

c) Grouped frequency distribution

d) Unequal classed frequency distribution.

74. Relative frequency is obtained by _______

a) Frequency of class/Class interval

b) Frequency of class/ Total frequency

c) Frequency of class Class interval

d) Frequency of classTotal frequency

75. Frequency distribution cannot be graphically presented by _____

a) Histogram

b) Frequency polygon

c) Frequency curve 

d) Pie chart 












76. Following figure represent ________

 

a) Histogram of ungrouped frequency distribution

b) Histogram of grouped frequency distribution

c) Frequency polygon of frequency distribution

d) Ogive of frequency distribution

77. Frequency density is calculated by_______

a) Frequency of class/Class interval

b) Frequency of class/ Total frequency

c) Frequency of class  Class interval

d) Frequency of class  Total frequency

78. With the help of histogram _________can be located graphically.

a) Mean

b) Median

c) Mean and Median

d) Mode 

79. With the help of Ogive _________can be located graphically.

a) Mean

b) Median

c) Mean and Median

d) Mode 

80. For drawing Frequency curve and Frequency polygon _______should be taken on X-axis.

a) Class limits

b) Class boundaries

c) Mid values of classes

d) Upper limits of classes

81. For drawing Histogram ________should be taken on X-axis.

a) Class limits

b) Lower limits of classes

c) Mid values of classes

d) Upper limits of classes

82. For drawing Histogram for unequal classes frequency distribution __________ should be taken on Y-axis.

a) Frequencies

b) Relative frequencies

c) Frequency density

d) Class limits

83. Less than cumulative values are plotted against _________in Ogive.

a) Class limits

b) Lower limits of classes

c) Mid values of classes

d) Upper limits of classes




84. More than cumulative values are plotted against _______ in Ogive

a) Class limits

b) Lower limits of classes

c) Mid values of classes

d) Upper limits of classes

85. In _________ successive class frequencies are added from top to bottom.

a) Relative frequency

b) Frequency density

c) Less than type cumulative frequency

d) More than type cumulative frequency 

86. In _________ successive class frequencies are added top to bottom to top.

a) Relative frequency

b) Frequency density

c) Less than type cumulative frequency

d) More than type cumulative frequency

87. If the given population is divided into classes on the basis of simultaneous study of more than one attributes at a time, then also it is termed as ____________.

a) manifold classification

b) simple classification

c) one way classification

d) quantitative classification

89. The midpoint of the class 62-68 is ____________

a) 66   

b) 65

c) 63

d) 64

90. The class width of the class  34-48 is _________

a) 7

b) 12

c) 8

d) 14

91. For frequency distribution with classes 8-13, 14-19, 20-25 and so on the lower class boundary  for class  14-19 is __________.

a) 6

b) 14.5

c) 14

d) 13.5

92. For the data if maximum observation is 86 and minimum observation is 23 and number of classes to be taken is 7 then class width of frequency distribution is ___________.

a) 10

b) 7

c) 9

d) 8

93. For frequency distribution with classes 8-13, 14-19, 20-25 and so on, the class 20-25 will include observation _________.

a) 8

b) 13

c) 8 and 13

d) 14

94. For frequency distribution with classes 8-16, 16-24, 24-32 and so on, the class 16-24 will exclude observation _________.

a) 16

b) 24

c) 16 and 22

d) 22

95. For frequency distribution with classes 12-16, 16-32, 32-40 and 40-56, if class 16-32 has frequency 48 then frequency density of the class is   ______.

a) 48

b) 24

c) 12

d) 6


Subjective Questions.

1. Define statistics in singular and plural sense.

2. Define statistics and discuss its limitations.

3. List the characteristics of good statistical data.

4. Discuss the scope of statistics in Business and Management planning.

5. Write definition given by Prof Horace Secrist. Why it is best among others definition?

6. Discuss the scope of statistics in Economics.

7. What is primary data? List the basic method of primary data collection.

8. Distinguish between Primary and Secondary data.

9. Discuss methods for collecting primary data.

10. Discuss various sources of collecting secondary data.

11. What precautions should be taken while using secondary data?

12. Write short note on questionnaire.

13. What is the purpose of classification?

14. State functions of classification.

15. What you mean by classification? 

16. Define classification of data and state four kind of classification with example for each one of them.

17. What do you understand by tabulation? State important points that should be kept in mind while tabulating the data.

18. Describe the major functional parts of a statistical table.  Draw a blank format of a table showing all these parts.

19. What are the chief functions of tabulation?

20. Discuss the types of table.

21. Illustrate two methods of classifying data in class-intervals.

22. Discuss different types of frequency distribution. 

23. What is Ogive? Explain types of Ogives.

24. What is relative frequency and frequency density?

25. What is a cumulative frequency?

26. Write note on Histogram, frequency Polygon and frequency curve.

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