Q1. The origin of statistics can be traced to
(a) State
(b) Commerce
(c) Economics
(d) Industry
Answer
(a) State
Q2. ‘Statistics may be called the science of counting’ is the definition given by
(a) Croxton
(b) A.L.Bowley
(c) Boddington
(d) Webster.
Answer
(b) A.L.Bowley
Q3. Sampling is inevitable in the situations
(a) Blood test of a person
(b) When the population is infinite
(c) Testing of life of dry battery cells
(d) All the above
Answer
(d) All the above
Q4. The difference between sample estimate and population parameter is termed as
(a) Human error
(b) Sampling error
(c) Non-sampling error
(d) None of the above
Answer
(b) Sampling error
Q5. If each and every unit of population has equal chance of being included in the sample, it is known as
(a) Restricted sampling
(b) Purposive sampling
(c) Simple random sampling
(d) None of the above
Answer
(c) Simple random sampling
Q6. Simple random sample can be drawn with the help of
(a) Slip method
(b) Random number table
(c) Calculator
(d) All the above
Answer
(d) All the above
Q7. A selection procedure of a sample having no involvement of probability is known as
(a) Purposive sampling
(b) Judgement sampling
(c) Subjective sampling
(d) All the above
Answer
(d) All the above
Q8. Five establishments are to be selected from a list of 50 establishments by systematic random sampling. If the first number is 7, the next one is
(a) 8
(b) 16
(c) 17
(d) 21
Answer
(c) 17
Q9. When the collected data is grouped with reference to time, we have
a) Quantitative classification
b) Qualitative classification
c) Geographical Classification
d) Chorological Classification
Answer
d) Chorological Classification
Q10. Most quantitative classifications are
a) Chronological
b) Geographical
c) Frequency Distribution
d) None of these
Answer
c) Frequency Distribution
Q11. Caption stands for
a) A numerical information
b) The column headings
c) The row headings
d) The table headings
Answer
b) The column headings
Q12. A simple table contains data on
a) Two characteristics
b) Several characteristics
c) One characteristic
d) Three characteristics
Answer
c) One characteristic
Q13. The headings of the rows given in the first column of a table are called
a) Stubs
b) Captions
c) Titles
d) Reference notes
Answer
a) Stubs
Q14. In an exclusive class interval
(a) the upper class limit is exclusive.
(b) the lower class limit is exclusive.
(c) the lower and upper class limits are exclusive.
(d) none of the above.
Answer
(a) the upper class limit is exclusive.
Q15. If the lower and upper limits of a class are 10 and 40 respectively, the mid points of the class is
(a) 15.0
(b) 12.5
(c) 25.0
(d) 30.0
Answer
(c) 25.0
Q16. Class intervals of the type 30-39,40-49,50-59 represents
(a) inclusive type
(b) exclusive type
(c) open-end type
(d) none.
Answer
(a) inclusive type
Q17. The class interval of the continuous grouped data is
10-19 | 20-29 | 30-39 | 40-49 | 50-59
(a) 9
(b)10
(c) 14.5
(d) 4.5
Answer
(b)10
Q18. Raw data means
(a) primary data
(b) secondary data
(c) data collected for investigtion
(d) Well classified data.
Answer
(a) primary data
Q19. Which of the following is one dimensional diagram.
(a) Bar diagram
(b) Pie diagram
(c) Cylinder
(d) Histogram
Answer
(a) Bar diagram
Q20. Percentage bar diagram has
(a) data expressed in percentages
(b) equal width
(c) equal interval
(d) equal width and equal interval
Answer
(a) data expressed in percentages
Q21. Frequency curve
(a) begins at the origin
(b) passes through the origin
(c) begins at the horizontal line.
(d) begins and ends at the base line.
Answer
(d) begins and ends at the base line.
Q22. With the help of histogram we can draw
(a) frequency polygon
(b) frequency curve
(c) frequency distribution
(d) all the above
Answer
(d) all the above
Q23. Ogives for more than type and less than type distribution intersect at
(a) mean
(b) median
(c) mode
(d) origin
Answer
(b) median
Q24. Which of the following represents median?
a) First Quartile
b) Fiftieth Percentile
c) Sixth decile
d) Third quartile
Answer
b) Fiftieth Percentile
Q25. If the grouped data has open-end classes, one can not calculate.
a)median
b) mode
c) mean
d) quartile
Answer
c) mean
Q26. In a symmetric distribution
a) mean ‚ median ‚ mode
b) mean = median = mode
c) mean > median > mode
d) mean< median < mode
Q27. If modal value is not clear in a distribution, it can be ascertained by the method of
a) grouping
b) guessing
c) summarizing
d) trial and error
Answer
a) grouping
Q28. Shoe size of most of the people in India is No. 7. Which measure of central value does it represent?
a) mean
b) second quartile
c) eighth decile
d) mode
Answer
d) mode
Q29. The middle value of an ordered series is called:
a) 2nd quartile
b) 5th decile
c) 50th percentile
d) all the above
Answer
d) all the above
Q30. The variate values which divide a series (frequency distribution ) into ten equal parts are called:
a) quartiles
b) deciles
c) octiles
d) percentiles
Answer
b) deciles
Q31. For percentiles, the total number of partition values are
a) 10
b) 59
c) 100
d) 99
Answer
c) 100
Q32. The first quartile divides a frequency distribution in the ratio
a) 4 : 1
b) 1 : 4
c) 3 : 1
d) 1 : 3
Answer
d) 1 : 3
Q33. Sum of the deviations about mean is
a) Zero
b) minimum
c) maximum
d) one
Answer
a) Zero
Q34. Histogram is useful to determine graphically the value of
a) mean
b) median
c) mode
d) all the above
Answer
c) mode
Q35. Median can be located graphically with the help of
a) Histogram
b) ogives
c) bar diagram
d) scatter diagram
Answer
b) ogives
Q36. Sixth deciles is same as
a) median
b) 50th percentile
c) 60th percentile
d) first quartile
Answer
c) 60th percentile
Q37. What percentage of values lies between 5th and 25th percentiles?
a) 5%
b) 20%
c) 30%
d) 75%
Answer
c) 30%
Q38. Which of the following is a unitless measure of dispersion?
(a) Standard deviation
(b) Mean deviation
(c) Coefficient of variation
(d) Range
Answer
(c) Coefficient of variation
Q39. Absolute sum of deviations is minimum from
(a) Mode
(b) Median
(c) Mean
(d) None of the above
Answer
(c) Mean
Q40. In a distribution S.D = 6. All observation multiplied by 2 would give the result to S.D is
(a) 12
(b) 6
(c) 18
(d) 6
Answer
(a) 12
Q41. The mean of squared deviations about the mean is called
(a) S.D
(b) Variance
(c) M.D
(d) None
Answer
(b) Variance
Q42. If the minimum value in a set is 9 and its range is 57, the maximum value of the set is
(a) 33
(b) 66
(c) 48
(d) 24
Answer
(b) 66
Q43. Quartile deviation is equal to
(a) Inter quartile range
(b) double the inter quartile range
(c) Half of the inter quartile range
(d) None of the above
Answer
(c) Half of the inter quartile range
Q44. Which of the following measures is most affected by extreme values
(a) S.D
(b) Q.D
(c) M.D
(d) Range
Answer
(d) Range
Q45. Which measure of dispersion ensures highest degree of reliability?
(a) Range
(b) Mean deviation
(c) Q.D
(d) S.D
Answer
(d) S.D
Q46. For a negatively skewed distribution, the correct inequality is
(a) Mode < median
(b) mean < median
(c) mean < mode
(d) None of the above
Answer
(c) mean < mode
Q47. In case of positive skewed distribution, the extreme values lie in the
(a) Left tail
(b) right tail
(c) Middle
(d) any where
Answer
(b) right tail
Q48. The coefficient of correlation.
(a) cannot be negative
(b) cannot be positive
(c) always positive
(d) can either be positive or negative
Answer
(d) can either be positive or negative
Q49. Correlation coefficient is independent of change of
(a) Origin
(b) Scale
(c) Origin and Scale
(d) None
Answer
(c) Origin and Scale
Q50. Rank Correlation was found by
(a) Pearson
(b) Spearman
(c) Galton
(d) Fisher
Answer
(b) Spearman
Q51. When the correlation coefficient r = +1, then the two regression lines
a) are perpendicular to each other
b) coincide
c) are parallel to each other
d) none of these
Answer
b) coincide
Q52. If one regression coefficient is greater than unity then the other must be
a) greater than unity
b) equal to unity
c) less than unity
d) none of these
Answer
b) equal to unity
Q53. Regression equation is also named as
a) predication equation
b) estimating equation
c) line of average relationship
d) all the above
Answer
d) all the above
Q54. The lines of regression intersect at the point
a) (X,Y)
b) (X,Y)
c) (0,0)
d) (1,1)
Answer
b) (X,Y)
Q55. If r = 0, the lines of regression are
a) coincide
b) perpendicular to each other
c) parallel to each other
d) none of the above
Answer
b) perpendicular to each other
Q56. Regression coefficient is independent of
a) origin
b) scale
c) both origin and scale
d) neither origin nor scale.
Answer
a) origin
Q57. The geometric mean of the two-regression coefficients byx and bxy is equal to
a) r
b) r2
c) 1
d) √r
Answer
a) r
Q58. Given the two lines of regression as 3X – 4Y +8 = 0 and 4X – 3Y = 1, the means of X and Y are
a) X = 4, Y = 5
b) X =3, Y = 4
c) X = 2, Y = 2
d) X = 4/3, Y = 5/3
Answer
a) X = 4, Y = 5
Q59. If the two lines of regression are X + 2Y – 5 = 0 and 2X + 3Y – 8 = 0, the means of X and Y are
a) X = – 3, Y = 4
b) X = 2, Y = 4
c) X =1, Y = 2
d) X = – 1, Y = 2
Answer
c) X =1, Y = 2
Q60. If byx = -3/2, bxy = -3/2 then the correlation coefficient, r is
a) 3/2
b) –3/2
c) 9/4
d) – 9/4
Answer
b) –3/2
Q61. Index number is a
(a) measure of relative changes
(b) a special type of an average
(c) a percentage relative
(d) all the above
Answer
(d) all the above
Q62. Most preferred type of average for index number is
(a) arithmetic mean
(b) geometric mean
(c) hormonic mean
(d) none of the above
Answer
(b) geometric mean
Q63. Laspeyre’s index formula uses the weights of the
(a) base year
(b) current year
(c) average of the weights of a number of years
(d) none of the above
Answer
(a) base year
Q64. The geometric mean of Laspeyere’s and Passche’s price indices is also known as
(a) Fisher’s price index
(b) Kelly’s price index
(c) Marshal-Edgeworth index number
(d) Bowley’s price index
Answer
(d) Bowley’s price index
Q65. The condition for the time reversal test to hold good with usual notations is
(a) P01 × P10 = 1
(b) P10 × P01 = 0
(c) P01 / P10 = 1
(d) P01 + P10 = 1
Answer
(a) P01 × P10 = 1
Q66. An appropriate method for working out consumer price index is
(a) weighted aggregate expenditure method
(b) family budget method
(c) price relative method
(d) none of the above
Answer
(b) family budget method
Q67. The weights used in Passche’s formula belong to
(a) The base period
(b) The given period
(c) To any arbitrary chosen period
(d) None of the above
Answer
(b) The given period
