F.Y. Statistics Unit-II MCQ Past Paper PDF

I J F.Y.B.Com.-Statistics Jitendra Sukhadia’s...

I J F.Y.B.Com.-Statistics Jitendra Sukhadia’s Jitendra Sukhadia’s JITENDRA SUKHADIA’S Jitendra Sukhadia’s Jitendra Sukhadia’s 9825910098 STATISTICS 100% F.Y.B.COM., S.Y.Y.B.BB.Y.BB.BBAA Result Jitendra Sukhadia’s Jitendra Sukhadia’s 28th, F.F., Pujar Complex, Subhanpura, Vadodara. Ph.9712910098 F.Y.B.COM. Statistics Sem. : I MULTIPLE CHOICE QUESTIONS Unit -II 1. Flatness or Peakness of curve can be measured by. Jitendra Sukhadia’s [A] Skewness [B] Kurtosis Jitendra Sukhadia’s [C] Average [D] Range 2. For the series with observation 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18 then coefficient of range. [A] 48 [B] 24 [C] 0.75 [D] 0.50 3. For 15 observations if mean and variance of the series is 450 and 20 Jitendra Sukhadia’s respectively then sum of all observation is. Jitendra Sukhadia’s [A] 30 [B] 6750 [C] 300 [D] 3375 4. For the series with observation 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18 then quartile deviation is. [A] 20 [B] 8 [C] 10 [D] 22 5. For the series with observation 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18 then quartile range is. Jitendra Sukhadia’s Jitendra Sukhadia’s [A] 20 [B] 8 [C] 10 [D] 22 6. Mean = ? (3 Median – Mode ) [A] 1/2 [B] 1/3 [C] 3 [D] 2 7. Mean – Mode = ? (Mean – Median) [A] 1/2 [B] 1/3 [C] 3 [D] 2 8. Median = Mode + ?(Mean – Median) Jitendra Sukhadia’s Jitendra Sukhadia’s [A] 1/2 [B] 1/3 [C] 3 [D] 2 9. Mode = Mean - ? (Mean – Median) [A] 1/2 [B] 1/3 [C] 3 [D] 2/3 10. For 10 observations if mean and variance of the series is 16 and 20 respectively then sum of square of all observation is. K L [A] 2760 [B] 4000 [C] 3600 [D] 4160 1 MCQ I J F.Y.B.Com.-Statistics Jitendra Sukhadia’s Jitendra Sukhadia’s 11. Measure of dispersion is based on two extreme values of the series. [a] standard deviation [b] mean deviation Jitendra Sukhadia’s Jitendra Sukhadia’s [c] quartile deviation [d] range 12. Measure of dispersion is based on average of absolute deviation of observation from average value of the series. [A] Standard Deviation [b] Mean Deviation [c] quartile deviation [d] range Jitendra Sukhadia’s Jitendra Sukhadia’s 13. Measure of dispersion is based on average of squared deviation of observation from average value of the series. [A] Standard Deviation [b] Mean Deviation [c] quartile deviation [d] range 14. For the given set of observation 1, 4, 4, 4, and 7 , it can be said that the. Jitendra Sukhadia’s [A] mean > median> mode [B] mean = median = mode Jitendra Sukhadia’s [C] mean median mode [D] mean < median< mode 15. Measure of central tendency which can be graphically located with the help of Histogram is. [A] Mode [B] Median [C] Mean [D] Quartile 16. Relative measures of Dispersion are. Jitendra Sukhadia’s [A] Free from unit of measurements. Jitendra Sukhadia’s [B] Ratio of absolute measure of dispersion and location measure. [C] Used for comparison. [D] All of the above. 18. From the following which is not absolute measure of dispersion? [A] Mean deviation [B] Standard deviation [C] Range [D] Coefficient of Variation 19. Variance of first 15 natural number is ______. Jitendra Sukhadia’s Jitendra Sukhadia’s [A] 56/3 [B] 8 [C] 18 [D] none 20. If values of a variable X are 5, 5, 5, 5, 5, 5 then its standard deviation is. [A] 1 [B] zero [C] 5 [D] 30 22. For open-end frequency distribution the appropriate measure of skewness is. Jitendra Sukhadia’s Jitendra Sukhadia’s [A] Karl Pearson’s coefficient of skewness [B] Bowley’s coefficient of skewness [C] Yule’s coefficient of skewness [D] Moment base coefficient of skewness 23. Moments about an arbitrary value is known as. K L [A] raw moment [B] central moment [C] moments about mean [D] none 2 MCQ I J F.Y.B.Com.-Statistics Jitendra Sukhadia’s Jitendra Sukhadia’s 24. Sum of deviation of observation from their respective mean is ___. [A] Zero [B] One [C] Frequency(f) [D] Total frequency(N) Jitendra Sukhadia’s Jitendra Sukhadia’s 25. First Central Moment is always. [A] 1 [B] 2 [C] 3 [D] Zero 26. If second central moment is 16, what is the standard deviation of that distribution ? [A] 16 [B] 8 [C] 4 [D] 2 28. The value of third central moment is “0.5 then the distribution is Jitendra Sukhadia’s Jitendra Sukhadia’s said to be. [A] positively skewed [B] negatively skewed [C] symmetric [D] normal 29. If Second and Fourth Central Moments of a distribution are 2 and 16 respectively then the distribution is said to be. [A] meso kurtic [B] lepto kurtic Jitendra Sukhadia’s [C] platy kurtic [D] normal Jitendra Sukhadia’s 30. Kurtosis measures. [A] lack of symmetry [B] peakedness of the curve [C] location of data [D] range of the data 31. If Second and Fourth Central Moments of a distribution are 4 and 16 respectively then the distribution is said to be. [A] meso kurtic [B] lepto kurtic Jitendra Sukhadia’s Jitendra Sukhadia’s [C] platy kurtic [D] normal 32. is also known normal curve. [A] meso kurtic [B] lepto kurtic [C] platy kurtic [D] Ogive curve 33. If an observation in a series is negative its G.M. will. [A] negative [B] undefined Jitendra Sukhadia’s Jitendra Sukhadia’s [C] 0 [D] none of the above 34. In a moderately asymmetrical distribution, the values of mode and median are 20 and 24 respectively. Then the value of mean is. [A] 20 [B] 24 [C] 28 [D] 26 35. A.M. and H.M of two observations is 25 and 9 respectively then G.M. is. [A] 15 [B] 20 [C] 34 [D] 17 Jitendra Sukhadia’s Jitendra Sukhadia’s 36. Sum of square of deviation of observation is minimum if it is taken from. [A] median [B] 0 [C] mode [D] mean 37. A.M = G.M. = H.M if. [A] all observation are equal. [B] atleast one observation is one. K [C] only variable as two observations. L [D] all observations are in ascending order 3 MCQ I J F.Y.B.Com.-Statistics Jitendra Sukhadia’s Jitendra Sukhadia’s 38. The mean of 10 observations is 20 and median is 15. If 5 is added to each observation, the new mean is and Median is. [A] 25, 20 [B] 25, 15 [C] 20, 20 [D] 20, 15 Jitendra Sukhadia’s Jitendra Sukhadia’s 39. The mean of 10 observations is 20 and standard deviation is 15. If 5 is added to each observation, the new mean is and standard deviation is. [A] 25, 20 [B] 25, 15 [C] 20, 20 [D] 20, 15 40. The range of 20 observations is 30. If each observation is multiplied by 2 then the range is. Jitendra Sukhadia’s Jitendra Sukhadia’s [A] 15 [B] 60 [C] 30 [D] 10 41. The mode and range of 20 observations is 30 and 30. If each observation is multiplied by 2 then the range is. [A] 30, 30 [B] 60, 60 [C] 30, 60 [D] 60, 30 42. If for a distribution coefficient of kurtosis 2 < 0 the frequency curve is. Jitendra Sukhadia’s [A] meso kurtic [B] lepto kurtic Jitendra Sukhadia’s [C] platy kurtic [D] normal 43. If for a distribution coefficient of kurtosis 2 = 0 the frequency curve is. [A] meso kurtic [B] lepto kurtic [C] platy kurtic [D] ogive curve 44. If for a distribution 1 < 0 and > 0 then frequency curve is Jitendra Sukhadia’s skewed and. Jitendra Sukhadia’s [A] negative, meso kurtic [B] negative, lepto kurtic [C] negative, platy kurtic [D] negative, normal 45. If the first quartile is 142 and the semi-inter quartile range is 18, then Upper quartile is. [A] 160 [B] 151 [C] 178 [D] 124 46. In a distribution ‘the difference of the lower and upper quartiles is Jitendra Sukhadia’s Jitendra Sukhadia’s 15 and their sum is 35. The median is 20, then coefficient of skewness is _. [A] 0.33 [B] 1 [C] -1 [D] -0.33 47. The first two moment of distribution about origin are 1, 4 then mean and standard deviation are and. [A] 3, 4 [B] 1, 2 [C] 3, 1.732 [D] 1, 1.732 Jitendra Sukhadia’s Jitendra Sukhadia’s 48. For distribution, the mean is 10, variance is 16 and â 2 is 2 then fourth central moment is. [A] 1024 [B] 64 [C] 256 [D] 512 49. For distribution, the mean is 10, variance is 9, â 1 is +1 then third central moment is. K L [A] 810 [B] 900 [C] 27 [D] 729 4 MCQ I J F.Y.B.Com.-Statistics Jitendra Sukhadia’s Jitendra Sukhadia’s 50. Average rate of growth of population per decade can be obtained by. [A] arithmetic mean [B] geometric mean [C] harmonic mean [D] median Jitendra Sukhadia’s Jitendra Sukhadia’s 51. Average speed of a typist can be obtained by. [A] Arithmetic Mean [B] Geometric Mean [C] Harmonic Mean [D] Median 52. cannot be used if one of the observation is zero. [A] Mean [B] Median [C] Range [D] Geometric mean Jitendra Sukhadia’s Jitendra Sukhadia’s 53. If 25% of items in a distribution are less than 10 and 25% are more than 40, then the quartile deviation is. [A] 1 [B] 40 [C] 10 [D] 15 54. Bowley’s coefficient of skewness lies between _________. [A] -1 and +1 [B] 0 and +1 [C] -1 and +3 [D] -3 and +3 Jitendra Sukhadia’s 55. For _____ arbitrary value, first raw moment is 7 and mean of the Jitendra Sukhadia’s distribution is 10. [A] 5 [B] 3 [C] 7 [D] 17 56. The mean of 9 observations is 50 Latter one observation 60 is added. The new mean is. [A] 50 [B] 60 [C] 51 [D] 61 Jitendra Sukhadia’s 57. The mean of 50 observations is 10 and the sum of their squares is Jitendra Sukhadia’s 6,000. The variance of the data is ______. [A] 12 [B] 20 [C] 4.47 [D] 10 58. The coefficient of variance is 15 % and the mean of series is 40 then standard deviation is. [A] 3 [B] 37.5 [C] 4 [D] 6 59. ________ depends on change of origin and scale both. Jitendra Sukhadia’s Jitendra Sukhadia’s [A] Arithmetic mean [B] Standard deviation [C] Moments [D] Range 60. The arithmetic mean of first 14 natural number is. [A] 105 [B] 98 [C] 91 [D] 100 61. measure of dispersion is least affected by presence of extreme values. Jitendra Sukhadia’s Jitendra Sukhadia’s [A] Range [B] Mean deviation [C] Standard deviation [D] Quartile deviation 62. ___________ measure is based on only the central fifty percent of the observations. [A] Standard deviation [B] Quartile deviation K L [C] Mean deviation [D] Range 5 MCQ I J F.Y.B.Com.-Statistics Jitendra Sukhadia’s Jitendra Sukhadia’s 63. The most commonly used measure of dispersion is. [A] Standard Deviation [B] Quartile Deviation [C] Mean Deviation [D] Range Jitendra Sukhadia’s Jitendra Sukhadia’s 64. measure of dispersion is capable of further mathematical properties. [A] Standard deviation [B] Quartile deviation [C] Mean deviation [D] Range 65. If the profits of a company remains the same for the last ten months, then the standard deviation of profits for these ten months would be ? Jitendra Sukhadia’s Jitendra Sukhadia’s [A] Positive [B] Negative [C] Zero [D] One 66. If the SD of the 1st n natural numbers is 2, then the value of n must be. [A] 2 [B] 7 [C] 6 [D] 5 67. For the two groups with 30 and 20 observations with respective mean Jitendra Sukhadia’s Jitendra Sukhadia’s 55 and 60, the combined mean will be. [A] 56 [B] 57 [C] 58 [D] 59 68. Which of the following statements is wrong ? (a) Mean is rigidly defined (b) Mean is not affected due to sampling fluctuations Jitendra Sukhadia’s (c) Mean has some mathematical properties Jitendra Sukhadia’s (d) Mean is easy to compute 69. In case of an even number of observations which of the following is median? (a) Any of the two middle-most value (b) The simple average of two middle most values (c) The weighted average of these two middle values Jitendra Sukhadia’s Jitendra Sukhadia’s (d) The difference of two middle most value 70. ________ of the following is not uniquely defined. [A] Mean [B] Median [C] Mode [D] Geometric mean 71. Weighted averages are considered when Jitendra Sukhadia’s Jitendra Sukhadia’s (a) The data are not classified (b) The data are put in the form of grouped frequency distribution (c) All the observations are not of equal importance (d) Both [A] and [C] 72. When a firm registers both profits and losses, measure of K L central tendency cannot be considered ? [A] AM [B] GM [C] Median [D] Mode 6 MCQ I J F.Y.B.Com.-Statistics Jitendra Sukhadia’s Jitendra Sukhadia’s 73. What is the value of the first quartile for observations 15, 18, 10, 20, 23, 28, 12 ? Jitendra Sukhadia’s [A] 10 [B] 12 [C] 12.75 [D] 15 Jitendra Sukhadia’s 74. The third decile for the numbers 15, 10, 20, 25, 18, 11, 9, 12 , 12 is ______. [A] 13 [B] 20 [C] 11 [D] 12 75. If the AM and GM for 10 observations are both 15, then the value of HM is (A) Less than 15 [B] More than 15 Jitendra Sukhadia’s Jitendra Sukhadia’s [C] 15 [D] Cannot be determined. 76. If the frequency curve has longer tail to right the distribution is known as skewed distribution. [A] positively [B] negatively [C] zero [D] normal Jitendra Sukhadia’s 77. If the frequency curve has longer tail to left the distribution is known Jitendra Sukhadia’s as skewed distribution. [A] positively [B] negatively [C] zero [D] normal 78. For the distribution, curve falls evenly on both sides from the highest peak. Jitendra Sukhadia’s [A] positively [B] negatively Jitendra Sukhadia’s [C] symmetric [D] normal 79. Coefficient of Skewness is positive for distribution of height of plant implies. [A] more number of plants having lower height. [B] more number of plants having higher height. Jitendra Sukhadia’s Jitendra Sukhadia’s [C] plants are evenly distributed over heights [D] all plants of same height 80. Coefficient of Skewness is negative implies of the variable. [A] more concentration on lower values. [B] more concentration on higher values. [C] more concentration on middle most value. Jitendra Sukhadia’s Jitendra Sukhadia’s [D] more concentration on all values 81. The mode and range of 20 observations is 30 and 30. If 5 is added to each observation then the range is. [A] 30, 30 [B] 35, 30 [C] 30, 35 [D] 35, 35 K L *********** 7 MCQ