MAT105 Sample Questions PDF

1. The scientific method for collecting, organizing, summarizing, present- ing and analyzing data is called (a)Statistics (b)Mathematics (c)Analysis (d)Numerical 2. The two main types of statistics are (a)Inductive and Descriptive (b)Inductive and Encryptive (c)Encryptive and Descript...

1. The scientific method for collecting, organizing, summarizing, present- ing and analyzing data is called (a)Statistics (b)Mathematics (c)Analysis (d)Numerical 2. The two main types of statistics are (a)Inductive and Descriptive (b)Inductive and Encryptive (c)Encryptive and Descriptive (d)Inductive and Decryp- tive 3. The number of times that a variable occur is called (a)frequency (b) mode (c)median (d)mean 4. The range of the set of data 5, 4, 4, 3, 3, 3, 3 is (a)2 (b)7 (c)3 (d)4 5. Which of the following is not use to present data in statistics (a)Ogive (b)Bar Chart (c)Pie Chart (d)Histogram 6. Which of the following is not an example of a bar chart (a)Inverse bar chart (b)Component bar chart (c)multiple barchart (d)simple bar chart 7. If the total students in a faculty is 900 of which 300, 150, 100, 110 and 240 are in Economics, Sociology, Geography, Accountancy and Political Science respectively, then the angle substended by accounting on a pie chart is (a)44 degree (b)40 degree (c)96 degree (d)110 degree 8. A histogram is similar to a bar chart except that in the former (a)the bars are joined together while in the latter the bars are separated (b)the bars are equal while they are unequal in the latter (c)the bars are not joined together while in the latter the bars are joined (d)the bars are unequal while they are equal in the latter 9.... is a line chart of class frequency joining all the middle points of each class (a)frequency polygon (b)Ogive (c)Scattered-Diagram (d)stem dia- gram 10. The arithmetic mean of 5,5,5,5,7,7,7,8,8,8,8,8,6,6,4,4 is (a)6.31 (b)7 (c)8 (d)63.1 x 1 2 3 4 5 6 11. The mean of the data below is (a) 4.06 f 2 8 24 52 31 11 (b)40.6 (c)3.5 (d)4.60 1 1 2 3 4 5 6 12. The median of the data below is is (a)2 18 27 21 15 11 5 3 (b)4 (c)3 (c)6 13. Which of the following  gives the median of a grouped frequency  distri- bution (a)Lm + N/2−CFFm m−1 C m (b)L m + N/2−CFm−1 Fm+1 Cm (c)L m +     N/2+CFm−1 Fm Cm (d)Lm − N/2−FCFm−1 m Cm 14. Given the table showing the distribution in a certain factory Weekly Wages 200-400 400-600 600-800 800-1000 1000-1200 1200-1400 1400-1600 160 No. of workers 6 10 18 28 38 33 16 The mean wage is (a)1066.9 (b)157 (c)17.44 (d)167500 1 15. Given the table showing the distribution in a certain factory Weekly Wages 200-400 400-600 600-800 800-1000 1000-1200 1200-1400 1400-1600 160 No. of workers 6 10 18 28 38 33 16 The median wage is (a)1089.5 (b)1100 (c)1133.33 (d)1098.5 16. Given the table showing the distribution in a certain factory Weekly Wages 200-400 400-600 600-800 800-1000 1000-1200 1200-1400 1400-1600 160 No. of workers 6 10 18 28 38 33 16 The modal wage is (a)1133.33 (b)1100 (c)1066.9 (d)1098.5 17. Given the table showing the distribution in a certain factory Weekly Wages 200-400 400-600 600-800 800-1000 1000-1200 1200-1400 1400-1600 160 No. of workers 6 10 18 28 38 33 16 The percentage of workers who earned between 800 and 1200 is (a)42% (b)17.83% (c)30.68% (d)6.37% 18. Which of the following is not correct for a moderately skewed distri- bution (a)3(mean) + 2(median) = 5(mode) (b)median = 2(mean)+mode 3 (c)mean = 3(median)−mode 2 (d)mode = 3(median) − 2(mode) 19. Given that the median and mode of a moderately skewed distribution are 27.39 and 28.04 respectively, then the mean is (a)27.065 (b)54.13 (c)72.065 (d)45.13 20. The mode of the set of data 1,2,3,3,2,1,1 is (a)1 (b) 0 (c)2 (d)3 21. Obtain the geometric mean of the set of data 2,4,6 (a)3.63 (b)36 (c)6 (d)4 22. The harmonic mean of 2,4,6 is (a)3.27 (b)6 (c)0.9167 (d)0.3056 23. The range of the set of data 20,21,23,35,37,38,40,25, 28,30 is (a)20 (b)29.7 (c)29 (d)3 24. The sum of the absolute difference between consecutive set of data xj and mean x of the data divided by the number of data is (a)mean deviation (b)Range (c) error of deviation (d)standard deviation 25. The mean deviation of the set of data 2,4,6,7,9,10 is (a)2.33 (b)6.3333 (c)6.5 (d)8 26. When a set of data is divided into four equal portions, the three values that do this are known as (a)Quartiles (b)Quantiles (c)Quartusis (d)4-Quartile divisors 27. Which of the following is not correct (a)1st Quartile ¡ 25th Percentile (b)median = 2nd Quartile (c)Q3 − P75 = 0 (d)median = 50th Percentile 28. The nine points of distribution that divided it up into ten equal parts are called (a)Deciles (b)Tenciles (c)10-Points Divisors (d)Tencile-data 29. The variance of the set of data 15, 14.30, 14.40, 13.50, 14.10 is (a)0.23 (b)14.26 (c)1.1720 (d)1.43 2  x 2 3 4 5 6 8 30. The standard deviation of the data below is f 2 3 5 1 2 1 is (a)1.60 (b)1.06 (c)6.10 (d)6.01 31. Given the following data: 160, 130, 140, 150, 140, 250, 210, 120, 140, 120. The lower quartile is (a)120 (b)130 (c)140 (d)160 32. Given the following data: 160, 130, 140, 150, 140, 250, 210, 120, 140, 120. The upper quartile is (a)160 (b)250 (c)210 (d)150 33. Given the following data: 160, 130, 140, 150, 140, 250, 210, 120, 140, 120. The standard deviation is (a)39.8 (b)38.9 (c)98.3 (d)3.98 34. Given the following data: 160, 130, 140, 150, 140, 250, 210, 120, 140, 120. The mean deviation is (a)30.4 (b)104 (c)3.98 (d)3.40 35. Given the following data: 160, 130, 140, 150, 140, 250, 210, 120, 140, 120. The quartile deviation is (a)15 (b)30 (c)290 (d)141 36. Given the following data: 160, 130, 140, 150, 140, 250, 210, 120, 140, 120. The mean is (a)156 (b)165 (c)561 (d)516 37. Given the following data: 160, 130, 140, 150, 140, 250, 210, 120, 140, 120. The mode is (a)140 (b)120 (c)130 (d)150 38. Given the following data: 160, 130, 140, 150, 140, 250, 210, 120, 140, 120. The median is (a)140 (b)120 (c)150 (d)160 39. The third moment about the mean of the data 2,3,4,5,6 is (a)88 (b)4 (c)4.4 (d)440 40. The degree of asymmetry, or departure from symmetry of a distribution is known as (a)skewness (b)deviation (c)kurtosis (d)mean 41. Given that P10 = 5, P90 = 8 and P50 = 6, then percentile coefficient of skewness is (a)0.33 (b)0.23 (c)3.23 (d)6 42. The degree of peakedness of a distribution is known as (a)kurtosis (b)skewness (c)deviation (d)moment 43. The Normal distribution curve is otherwise known as (a)Mesokurtic (b) Leptokurtic (c)Platykurtic (d)Normalkurtic 44. When the moment coefficient of a distribution is greater than 3, then the distribution is said to be (a)Leptokurtic (b)Platykurtic (c)Mesokurtic (d)Trikurtic 45. The probability that an event will certainly not occur is (a)0 (b)1/2 (c)1 (d)0.333 46. The probability of obtaining an even number in a single toss of a fair die is (a)1/2 (b)2/3 (c)1/3 (d) 1/4 47. The probability of obtaining at least two heads in a toss of a fair die trice is (a)1/2 (b)0 (c)1/3 (d)1/4 3 48. The probability of obtaining a sum greater than 10 in a toss of 2 dices once is (a)1/12 (b)1/2 (c)5/18 (d)1/3 49. Two events are said to be independent if (a)the occurrence of one will in no way affect the occurrence of the other (b)the occurrence of one will affect the occurrence of the other (c)their respective probabilities are equal (d)if the two events can not occur at the same time 50. Which of the following is not correct (a)x ≥ H.M ≥ G.M (b)H.M ≤ G.M ≤ x (c)x + G.M ≥ H.M + G.M (d)G.M + 2 ≤ x + 2 51. Which of these is not a property of a good questionnaire. The question- naire must (a)be personal (b)be properly arranged (c)not be difficult (d)be short and direct 52. Which of these is not correct about the Arithmetic mean, Geometric mean and Harmonic mean (a)A.M ≤ G.M ≤ H.M (b)H.M ≤ G.M ≤ A.M (c)A.M + G.M ≥ A.M + H.M (d)A.M − 2 ≥ H.M − 2 Class 5 - 10 10 -15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 53. Given the table below: Frequency 10 30 50 60 32 28 20 The mean of the distribution is (a)22.67 (b)19.22 (c)22.19 (d) 21.92 Class 5 - 10 10 -15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 54. Given the table below: Frequency 10 30 50 60 32 28 20 The standard deviation is (a)1.74 (b)7.97 (c)10.81 (d) 3.42 55. Given the table below: Class 5 - 10 10 -15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 Frequency 10 30 50 60 32 28 20 The second moment about the origin is (a)3.02 (b)34.49 (c)60.23 (d)63.45 56. Given the table below: Class 5 - 10 10 -15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 Frequency 10 30 50 60 32 28 20 The semi-interquartile range is (a)7.13 (b)6.21 (c)3.124 (d)6 57. The regression coefficient of the regression line y = 2 + 5x is (a)5 (b) 2 (c) 12 (d)7 58. The range of correlation coefficient, r is.......... (a)−1 ≤ r ≤ 1 (b) −1 < r < 1 (c)0 ≤ r ≤ 1 (d)0 < r < 1 59............ have each bar representing a class split up into its constituent parts. (a)Component Bar Chart (b)Simple Bar Chart (c) Multiple Bar Chart (d)Split Bar Chart 60. A regression line has a slope of 3 and an intercept of -1 on the y-axis. When the independent variable x is 5, the estimated value of y is (a)14 (b)15 (c)3 (d)16 61. The class 41-49 has a width of (a)9 (b)7 (c)8 (d)10 4 62. A set of rectangular bars having bases on a horizontal axis with no distance apart and with center at class marks is called (a)Histogram (b)Bar chart (c) Rectangular chart (d)Line chart 63. An ogive is obtained by plotting the........... against the actual data. (a)Cumulative frequency (b)Frequency (c)Relative frequency (d)Percentage frequency 64. If the standard deviation of a set of data is 2, what is the variance? (a)4 (b)1.4142 (c)8 (d)2 65. Another name for the cumulative frequency curve is (a)Ogive (b)Line Graph (c)Frequency Polygon (d)Quadratic curve 66.......... is a measure of association between variables indicating the di- rection and strength of their relationship (a)Correlation (b)Regression (c)Coefficient of Determination (d)Coefficient of variation 67. One of these is not a measure of central tendency (a)Variance (b)Mean (c)Mean (d) Mode 68. In the regression model Y = a+bX, ’a’ represents (a)Regression Constant (b)Dependent Variable (c)Regression Coefficient (d)Independent Variable X 2 5 7 9 12 13 69. In the fit of Y = a + bX to the data the Y 4 6 7 7 8 9 value of b is (a)0.40 (b)-0.40 (c)0.60 (d)-0.60 height (cm) 157 147 165 70. Given the table below on the height and weight of some students weight (kg) 52.80 50.64 64.52 the Spearman’s rank correlation coefficient is (a)0.825 (b)0.852 (c)0.285 (d)0.882 71. Given the table below score (x) 0 1 4 7 8 The median score is (a)4 (b)1 (c)7 (d) 8 Frequency 5 2 3 7 4 72. Given the table below score (x) 0 1 4 7 8 The relative frequency of the score ’4’ is Frequency 5 2 3 7 4 (a)0.1429 (b)3 (c)0.1905 (d)13 73. The following are methods of collecting data except (a)Counting (b)Personal Interview (c)Experiments (d)Questionnaires 74................. consists of rectangles that are usually drawn separately and at equal distance (a)Simple Bar Chart (b)Histogram (c)Ogive (d)Frequency Polygon 75. If the regression coefficient r = −0.9, this indicates............. between the relationship between x and y (a)Strong and Inverse (b)Strong and Direct (c)Weak and Inverse (d)Weak and Direct 5 76. What method of estimation can be used to estimate the regression param- eters (a)ordinary least square (b)standard error (c)residual (d)calculus 77. The coefficient of variation of 1, 3, 5, 8, 9, 10 is (a)55% (b)66% (c)77% (d)44% 78. One of these is not a mean (a)Cumulative (b)Arithmetic (c) Harmonic (d)Geometric 79. The Peakedness of a distribution is referred to as (a)Kurtosis (b)Moment (c)Skewness (d)Correlation 80. Which of these is a type of Kurtosis (a)Leptokurtic (b)Plantykurtic (c)Methykurtic (d)Kurtykurtic 81. A distribution is Platykurtic if the fourth moment coefficient is (a)Less than three (b)Equal to three (c)Greater than three (d) Not Equal to three 82. The scientific method for collecting, organizing,summarizing, presenting and analyzing data is called (a)Statistics (b)Mathematics (c)Analysis (d)Investigation 83......... is a graphical display of the relationship between bivariate data (a)Scattered Diagram (b)Ogive (c)Dot Diagram (d)Frequency Polygon 84. One advantage of the stem and leaf display over the histogram is: it (a)is easier to plot (b)retains the data information (c)is more concise (d) is more presentable 85. The two main sources of data collections are (a)Primary and Secondary (b)Numeric and Non-Numeric (c)Discrete and Continuous (d)Qualitative and Quantitative 86. The geometric mean of 3, 5, 6, 7, 10, 12 is (a)6.5 (b)274.9 (c) 2.75 (d) 3.25 87. Skewness of a distribution can be defined as (a)Degree of Asymmetry (b)Degree of symmetry (c) Degree of Peakedness (d) Degree of Smoothness 88. The arithmetic mean of 12, 7, 2, 6, 13, 17, 14, 5, 9, 4 is (a)8.9 (b)89 (c)9.8 (d) 14 89. Range is a measure of................ (a)Location (b)Dispersion (c)Skewness (d)Central values 90. Calculate the fourth moment about the mean for 2, 3, 4, 5, 6 is (a)6.8 (b)8.6 (c)5.6 (d)5 91. Variance is the............. moment about the mean (a)2nd (b)1st (c)3rd (d)4th 92. The number of times that a variable occurs is called (a)Frequency (b)Mode (c)Tally (d)Count 93. The mean deviation of 2, 4, 6, 8 is (a)2 (b)8 (c)6 (d)4 94. Find the harmonic mean of 6, 7, 9, 10 (a)7.68 (b)2.91 (c)1.92 (d)8 6  95. Types of data include the following except (a)Systematic (b)Numeric (c) Qualitative (d)Discrete 96. In a stem and leaf display, the data ’6 2’ has a leaf of (a)2 (b)62 (c)26 (d)6 97. The nine points of a distribution that divides a distribution into ten equal parts are called (a)Deciles (b)Decimals (c)Percentiles (d)Quartiles 98. When there are two (2) modal scores in a distribution, it is called (a)Bi- modal (b)Uni-modal (c) Multi-modal (d) Di-Modal 99. Given the table below: Range 2-4 5-7 8-10 11-13 14-16 The mode of the distri- Frequency 3 4 6 2 1 bution is (a)8 (b)6 (c)7 (d)9 100. Given the table below: Range 2-4 5-7 8-10 11-13 14-16 The median of the distri- Frequency 3 4 6 2 1 bution is (a)8.5 (b)5.5 (c)6.5 (d)7.5 101. The hourly wages of a sample of 130 system analysts are given: mean = 60, range = 20, mode = 73, variance = 324, median = 74. What does the coefficient of variation equal? (a)30% (b)0.30% (c)5.4% (d)54% 102. The variance of a sample of 169 observations equals 576. The standard deviation of the sample equals (a)24 (b)13 (c)576 (d)28461 103. A numerical value used as a summary measure for a sample, such as sample mean, is known as a (a)sample statistic (b)population parameter (c)sample parameter (d)population mean (e)None of the above answers is correct. 104. Since the population size is always larger than the sample size, then the sample statistic (a)None of the above answers is correct. (b)can never be larger than the population parameter (c)can never be equal to the population parameter (d)can never be zero (e)can never be smaller than the population parameter 105. µ is an example of a (a)population parameter (b)sample statistic (c)population variance (d)mode (e)None of the above answers is correct. 106. The mean of a sample is (a)computed by summing all the data values and dividing the sum by the number of items (b)always equal to the mean of the population (c)always smaller than the mean of the popu- lation (d)computed by summing the data values and dividing the sum by (n - 1) (e)None of the above answers is correct. 107. The sum of the percent frequencies for all classes will always equal (a)100 (b)one (c)the number of classes (d)the number of items in the study (e)None of the above answers is correct. 7 108. In a five number summary, which of the following is not used for data summarization? (a)the 25th percentile (b)the smallest value (c)the largest value (d)the median (e)the mean 109. Since the mode is the most frequently occurring data value, it (a)None of the above answers is correct. (b)can never be larger than the mean (c)is always larger than the median (d)is always larger than the mean (e)must have a value of at least two Number of Hours Frequency 0-9 40 110. The class width for this distribution 10- 19 50 is 20 - 29 70 30 - 39 40 (a)10 (b)9 (c)11 (d)varies from class to class (e)None of the above answers is correct 111. The number of students working 19 hours or less in the distribution: Number of Hours Frequency 0-9 40 10- 19 50 is (a)90 (b)40 (c)50 (d)can not be deter- 20 - 29 70 30 - 39 40 mined without the original data (e)None of the above answers is correct 112. Refer to: Number of Hours Frequency 0-9 40 10- 19 50 The relative frequency of students work- 20 - 29 70 30 - 39 40 ing 9 hours or less is (a)0.2 (b)0.45 (c)40 (d)can not be determined from the information given (e)None of the above answers is correct 113. Refer to: Number of Hours Frequency 0-9 40 10- 19 50 The cumulative relative frequency for 20 - 29 70 30 - 39 40 the class of 10 19 is (a)90 (b)0.25 (c)0.45 (d)can not be determined from the information given (e)None of the above answers is correct 114. The sum of deviations of the individual data elements from their mean is (a)always greater than zero (b)always less than zero (c)sometimes greater than and sometimes less than zero, depending on the data elements (d)always equal to zero (e)None of the above answers is correct. 115. A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 21 years. This is an example of (a)statistical inference (b)a census (c)descriptive statistics (d)an experiment (e)None of the above answers is correct. 8