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Data Analysis · CAPE Applied Mathematics Unit 1

227 past-paper questions on Data Analysis, part of Module 1: Collecting and Describing Data, from every CAPE Applied Mathematics Unit 1 paper on Quelpr.

Practise Data Analysis
  1. 1(a)6 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Draw a stem-and-leaf diagram to display the data.
  2. 1(b)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Determine the median of the data.
  3. 1(b)(ii)4 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Determine the interquartile range of the data.
  4. 1(b)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Determine the mean of the data.
  5. 1(b)(iv)4 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Determine the 10% trimmed mean of the data.
  6. 1(c)(i)5 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Using a scale of 1 cm to represent 5 cars, construct a box-and-whisker plot for this distribution.
  7. 1(c)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Hence describe the shape of the distribution.
  8. 6(c)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Calculate (\bar{x}, \bar{y}), where \bar{x} is the mean of x and \bar{y} is the mean of y.
  9. 1(b)6 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Construct a well-labelled pie chart representing the daily newspaper production, using a circle radius of 4 cm and angles rounded to the nearest whole degree.
  10. 1(c)(i)4 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Calculate the mean daily newspaper production.
  11. 1(c)(ii)5 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Calculate the standard deviation of the daily newspaper production.
  12. 2(a)4 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Construct the cumulative distribution table for the given data.
  13. 2(b)4 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2On the provided answer graph sheet, plot the cumulative frequency curve representing the cumulative distribution table.
  14. 2(c)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Use the cumulative frequency curve to estimate the number of people whose commute time is under 35 minutes.
  15. 2(c)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Use the cumulative frequency curve to estimate the median commuting time.
  16. 2(c)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Use the cumulative frequency curve to estimate the interquartile range of the commute times.
  17. 2(d)3 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Construct a box-and-whisker plot displaying the commute times data.
  18. 2(e)5 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Calculate an estimate of the mean daily commute time.
  19. 2(f)2 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2State the shape of the distribution of the commute times.
  20. 1(c)(v)3 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2In the sample of 50 students, 10 listed poor canteen service, 15 smelly bathrooms, 8 drug use, 6 too much homework, and 11 other concerns. Determine the angle for EACH response category for a pie chart.
  21. 2(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2State the kind of diagram which could be used to BEST illustrate the heights of 100 pea trees.
  22. 2(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2State the kind of diagram which could be used to BEST illustrate the number of cars sold by each of 4 salesmen of a dealership in a week.
  23. 2(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2State the kind of diagram which could be used to BEST illustrate the percentage of sales made by 6 sales clerks in a business.
  24. 2(b)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2Construct a frequency distribution table to show the data.
  25. 2(b)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2Using the graph sheet provided, draw a bar chart to show this information.
  26. 1(d)(i)a)1 mark· CAPE Applied Mathematics Unit 1 · 2009 (second paper) · Paper 2Determine the mode of the distribution.
  27. 1(d)(i)b)1 mark· CAPE Applied Mathematics Unit 1 · 2009 (second paper) · Paper 2Determine the median of the distribution.
  28. 1(d)(ii)a)2 marks· CAPE Applied Mathematics Unit 1 · 2009 (second paper) · Paper 2Calculate the mean number of hours that students slept.
  29. 1(d)(ii)b)2 marks· CAPE Applied Mathematics Unit 1 · 2009 (second paper) · Paper 2Calculate the inter-quartile range of the hours slept.
  30. 1(d)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2009 (second paper) · Paper 2Using the graph sheet provided, draw a box and whisker diagram to show this information.
  31. 1(d)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2009 (second paper) · Paper 2State the shape of the distribution.
  32. 1(e)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State the boundaries of the third class.
  33. 1(e)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Calculate the width of the fifth class.
  34. 1(e)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Calculate the frequency density of the second class.
  35. 1(e)(iv)3 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Estimate the number of children who took more than 60 minutes to complete the assignment.
  36. 1(e)(v)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State a disadvantage of presenting data in this grouped frequency table format.
  37. 2(a)(i)4 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Illustrate these data in a stem-and-leaf diagram.
  38. 2(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State ONE advantage of using the stem-and-leaf diagram to display data.
  39. 2(b)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Determine the median age of the students in the class.
  40. 2(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Determine the modal age of the students.
  41. 2(c)4 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Calculate the mean age of the students.
  42. 2(d)2 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State ONE disadvantage of using the mean to report the average age of the class.
  43. 2(e)4 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Calculate the 8% trimmed mean for the data.
  44. 2(f)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Determine the upper and lower quartiles of the ages.
  45. 2(f)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Determine the semi-interquartile range of the ages.
  46. 2(g)2 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Describe the shape of the distribution of the ages.
  47. 1(a)(v)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Indicate, using the letters A, B, C, D and E, which variables Cannot be represented by a histogram.
  48. 2(a)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Determine the median waiting time for the distribution.
  49. 2(a)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Calculate the interquartile range for the distribution.
  50. 2(a)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Determine the number of persons who waited 20 minutes or more at the clinic.
  51. 2(b)(i)a)3 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Using groups such as 0 – 4, 5 – 9, ..., 25 – 29 and 30 – 34, draw a stem and leaf diagram.
  52. 2(b)(i)b)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2State the mode(s).
  53. 2(b)(i)c)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Calculate the median.
  54. 2(b)(i)d)3 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Determine the interquartile range.
  55. 2(b)(i)e)3 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Find the 8% trimmed mean.
  56. 2(b)(i)f)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2State the shape of the distribution.
  57. 2(b)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Which of the following measures of a distribution are affected by outliers: a) Mode, b) Mean, c) Median, d) Range?
  58. 5(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Calculate x̄, the mean of x.
  59. 5(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Calculate ȳ, the mean of y.
  60. 1(c)(i)5 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Using groups of 10, starting at 40, construct a stem and leaf diagram to display these data.
  61. 1(c)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2State ONE advantage of using a stem and leaf diagram to display data.
  62. 1(c)(iii)a)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2From your diagram, state the median mark obtained in the test.
  63. 1(c)(iii)b)3 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2From your diagram, state the inter-quartile range of the marks obtained.
  64. 2(b)(i)a)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Determine the mode of the distribution.
  65. 2(b)(i)b)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Determine the median of the distribution.
  66. 2(b)(ii)a)3 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Calculate the mean number of times that persons used their cell phones.
  67. 2(b)(ii)b)3 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Calculate the standard deviation of the number of times that persons used their cell phones.
  68. 2(b)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Describe the shape of the distribution.
  69. 2(c)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Use the graph to determine the number of walkers that took part in the race.
  70. 2(c)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Use the graph to determine the number of walkers that took less than 25 minutes to complete the race.
  71. 2(c)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Use the graph to determine the percentage of walkers that took longer than 55 minutes to complete the race.
  72. 2(c)(iv)3 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Use the graph to determine an approximate value of the inter-quartile range of the times that walkers took to complete the race.
  73. 2(c)(v)3 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Use the graph to determine the value of x for which 60 per cent of the walkers took more than x minutes to complete the race.
  74. 6(b)(ii)b)3 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Calculate the mean rainfall for Station A and for Station B.
  75. 2(a)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2State the boundaries of the modal class.
  76. 2(a)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Approximately what percentage of students in the class is taller than 67 inches?
  77. 2(a)(iii)4 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Calculate the mean height of the students in the class.
  78. 2(a)(iv)4 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Calculate the standard deviation of the heights of the students in the class.
  79. 2(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2What advantage does preparing a stem and leaf diagram have over grouping a data set using a grouped frequency distribution?
  80. 2(b)(ii)a)1 mark· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2How many patients were in the sample?
  81. 2(b)(ii)b)2 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Determine the median waiting time for the sample.
  82. 2(b)(ii)c)3 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Calculate the inter-quartile range for the data.
  83. 2(b)(ii)d)3 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2On the graph paper provided, draw the box and whiskers diagram to show this data.
  84. 2(b)(ii)e)2 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Describe the shape of the distribution of the data.
  85. 3(b)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2How many people were in the survey?
  86. Q31 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Item 3 refers to the following frequency distribution. \begin{array}{|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline f & 15 & 22 & 11 & 7 & 3 & 2 \\ \hline \end{array} Which of the following statements…
  87. Q41 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Items 4–5 refer to the following table which shows the distribution of the time, in minutes, that 90 patients waited before being seen by a doctor. \begin{array}{|l|c|c|c|c|c|} \hline \text{Waiting time (in minutes)}…
  88. Q51 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Items 4–5 refer to the following table which shows the distribution of the time, in minutes, that 90 patients waited before being seen by a doctor. \begin{array}{|l|c|c|c|c|c|} \hline \text{Waiting time (in minutes)}…
  89. Q61 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Items 6–7 refer to the following table which shows the scores obtained by Jack in a game. Jack's mean score is 5. \begin{array}{|l|c|c|c|c|} \hline \text{Score} & 1 & 2 & 4 & x \\ \hline \text{Frequency} & 2 & 5 & 7 &…
  90. Q71 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Items 6–7 refer to the following table which shows the scores obtained by Jack in a game. Jack's mean score is 5. \begin{array}{|l|c|c|c|c|} \hline \text{Score} & 1 & 2 & 4 & x \\ \hline \text{Frequency} & 2 & 5 & 7 &…
  91. Q81 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1The mean of the positive numbers x_1, x_2, x_3 is \bar{x}, and the mean of the positive numbers y_1, y_2, y_3 is \bar{y}. The mean of the numbers x_1, x_2, x_3, y_1, y_2 and y_3 is
  92. Q91 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Item 9 refers to the following stem-and-leaf diagram. \begin{array}{r|llllllllll} 1 & 2 & & & & & & & & \\ 1 & 5 & & & & & & & & \\ 1 & 7 & 7 & & & & & & & \\ 2 & 0 & 0 & & & & & & & \\ 2 & 2 & 2 & & & & & & & \\ 2 &…
  93. Q131 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Item 13 refers to the following table which shows the number of copies of a school magazine circulated in the first four months of the last year. \begin{array}{|l|c|c|c|c|} \hline \text{Issue} & \text{January} &…
  94. Q141 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Items 14–15 refer to the following box-and-whisker plot. The interquartile range is
  95. Q151 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Items 14–15 refer to the following box-and-whisker plot. The distribution is
  96. 1(e)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Calculate the average weekly sales for the entire store.
  97. 1(e)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Calculate the standard deviation of the sales for the entire store.
  98. 1(f)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Determine the number of shoppers who spent between 30 and 60 minutes in the Boutique.
  99. 1(f)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 260% of the shoppers spent t minutes or less in the Boutique. Find the value of t.
  100. 1(f)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Estimate the median time spent in the Boutique.
  101. 1(f)(iv)3 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Using the provided graph sheet insert, construct a box-and-whisker diagram representing the cumulative frequency distribution.
  102. 2(a)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2State the class boundaries of the third class (30 – 39).
  103. 2(a)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Calculate the class width (size) of the third class.
  104. 2(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2State one disadvantage of presenting data in a grouped frequency distribution.
  105. 2(b)(i)6 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Calculate the estimated mean consultation time.
  106. 2(b)(ii)4 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Calculate the estimated variance of the consultation time.
  107. 2(b)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Calculate the estimated standard deviation of the consultation time.
  108. 2(c)4 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Draw a histogram representing the consultation times using the provided graph paper.
  109. 2(d)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2From the histogram or otherwise, determine an estimate for the mode of the distribution.
  110. 2(d)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Determine from the histogram or otherwise an estimate for the number of consultations that lasted 45 minutes or more.
  111. Q21 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1The boundaries of the second class are
  112. Q31 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1For data arranged in order of size, the LOWER quartile is the value
  113. Q61 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1The value of x is
  114. Q71 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1The variance of the distribution is
  115. Q91 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1Which of the following is/are true about the frequency distribution? I. The distribution is positively skewed. II. Mean > median. III. The 70th percentile is 3.5.
  116. Q101 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1The heights, in centimetres, of 5 students are: 165, 175, 176, 159, 170. The median and mean, in centimetres, are respectively
  117. Q111 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1Two pie charts are drawn to compare the total sales for the week. The radius of the pie chart for Outlet A is r_1, while that for Outlet B is r_2. The ratio r_1 : r_2 is
  118. Q121 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1A pie chart with radius 8 cm is drawn for a third outlet, C. Using 6 cm as the radius of the pie chart representing Outlet A, the total sales of Outlet C (in thousands of dollars) when compared to Outlet A is
  119. Q141 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1The marks obtained by 10 students in a class are given as 34 45 46 52 58 59 59 64 68 79 A 10% trimmed mean of these marks is
  120. Q151 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1The variance, s^2, of the numbers 6, 9, 7, 5, 3, 7, 7 is
  121. 2(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State ONE disadvantage of displaying data in groups.
  122. 2(a)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Determine the size of the third class.
  123. 2(a)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Using the graph paper provided, draw a histogram to show this distribution of daily profit.
  124. 2(a)(iv)3 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Use the histogram drawn in (a)(iii) to estimate the mode of the distribution.
  125. 2(a)(v)5 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Calculate an estimate of the mean profit made by the vendor over the 90-day period.
  126. 2(a)(vi)4 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Calculate an estimate of the standard deviation of the profit made by the vendor over the 90-day period.
  127. 2(b)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Determine the total number of students in the sample.
  128. 2(b)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Determine the size of the angle that represents the sector of bicycles.
  129. 2(b)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Calculate the number of students who walk to school.
  130. 6(b)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Calculate the mean age of the operators and the mean number of days required for training, to the NEAREST whole number.
  131. Q21 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Which of the following relationships is TRUE for a negatively skewed distribution?
  132. Q31 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Which of the following statements is TRUE of a histogram?
  133. Q41 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Items 4–5 refer to the following table which shows the distribution of the time, in minutes, that 90 patients waited before being seen by a doctor. \begin{tabular}{|l|c|c|c|c|c|} \hline \textbf{Waiting Time (minutes)}…
  134. Q51 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Items 4–5 refer to the following table which shows the distribution of the time, in minutes, that 90 patients waited before being seen by a doctor. \begin{tabular}{|l|c|c|c|c|c|} \hline \textbf{Waiting Time (minutes)}…
  135. Q61 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Items 6–7 refer to the following cumulative frequency curve which illustrates the results of an examination. How many students scored less than 70 marks?
  136. Q71 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Items 6–7 refer to the following cumulative frequency curve which illustrates the results of an examination. How many students scored higher than the upper quartile?
  137. Q81 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1The mean of the positive numbers x_1, x_2, x_3 is \bar{x}, and the mean of the positive numbers y_1, y_2, y_3 is \bar{y}. The mean of the numbers x_1, x_2, x_3, y_1, y_2, and y_3 is
  138. Q91 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Item 9 refers to the following stem-and-leaf diagram. \begin{tabular}{c|llllllll} 1 & 2 & & & & & & & \\ 1 & 5 & & & & & & & \\ 1 & 7 & 7 & & & & & & \\ 2 & 0 & 0 & & & & & & \\ 2 & 2 & 2 & & & & & & \\ 2 & 4 & 4 & 4 &…
  139. Q101 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Item 10 refers to the following table which shows the daily sales (in thousands of dollars) of two outlets of a company in a given week. \begin{tabular}{|l|c|c|c|c|c|} \hline \textbf{Day} & D_1 & D_2 & D_3 &…
  140. Q111 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Item 11 refers to the examination marks recorded in the following table for 20 science students. \begin{tabular}{|c|c|c|c|c|} \hline 6 & 17 & 19 & 20 & 22 \\ \hline 24 & 24 & 27 & 28 & 29 \\ \hline 32 & 36 & 41 & 44 &…
  141. Q131 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Item 13 refers to the following table which shows the number of copies of a school magazine circulated in the first four months of the last year. \begin{tabular}{|l|c|c|c|c|} \hline \textbf{Issue} & \text{January} &…
  142. Q141 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Items 14–15 refer to the following box-and-whisker plot. The interquartile range is
  143. Q151 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1Items 14–15 refer to the following box-and-whisker plot. The distribution is
  144. 1(b)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Calculate the angle of the sector representing persons who love potato.
  145. 1(b)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2If 10 persons love yam, determine the total number of persons living in the home to the nearest whole number.
  146. 1(b)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Calculate the number of persons who love cassava to the nearest whole number.
  147. 1(c)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State a disadvantage of displaying this data in groups as shown.
  148. 1(c)(ii)8 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2On the grid provided on page 7, draw a clearly labelled histogram displaying the information in the table, using a scale of 1 cm = 5 years and 2 cm = 5 persons.
  149. 1(c)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Use the histogram to estimate the mode of the ages.
  150. 2(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State which ONE of the mean, median and mode may be determined from qualitative data.
  151. 2(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State which ONE of the mean, median and mode is affected by extreme values.
  152. 2(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State which ONE of the mean, median and mode may have the largest value for a given set of data.
  153. 2(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State which ONE of the range, interquartile range and variance is influenced most by extreme values.
  154. 2(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State which ONE of the range, interquartile range and variance may be obtained by squaring the standard deviation.
  155. 2(b)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State which ONE of the range, interquartile range and variance is the middle 50% of the distribution.
  156. 2(c)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Calculate estimates for the mean.
  157. 2(c)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Calculate the estimates for the standard deviation of the data.
  158. 2(c)(iii)5 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Another data value, x = 29, was added to the values. Calculate values for the mean and the standard deviation of the 37 values.
  159. 2(d)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Determine the median number of marbles per packet.
  160. 2(d)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Determine the mode of the distribution.
  161. 2(d)(iii)4 marks· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Calculate the mean number of marbles per packet.
  162. 2(d)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2Describe the shape of the distribution.
  163. Q21 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Which of the following comparisons is correct for a NEGATIVELY skewed distribution?
  164. Q31 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1For data arranged in order of size, the LOWER quartile is the value
  165. Q41 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Item 4 refers to the following table which shows the distribution of the time, in minutes, that 90 patients waited before being seen by a doctor. \begin{tabular}{|l|c|c|c|c|c|} \hline Waiting Time (min) & 0--6 & 7--13…
  166. Q61 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Items 6--7 refer to the following table which shows the scores obtained by Jack in a game. The mean score is 5. \begin{tabular}{|l|c|c|c|c|} \hline Score & 1 & 2 & 4 & x \\ \hline Frequency & 2 & 5 & 7 & 6 \\ \hline…
  167. Q71 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Items 6--7 refer to the following table which shows the scores obtained by Jack in a game. The mean score is 5. \begin{tabular}{|l|c|c|c|c|} \hline Score & 1 & 2 & 4 & x \\ \hline Frequency & 2 & 5 & 7 & 6 \\ \hline…
  168. Q91 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Item 9 refers to the following frequency distribution. \begin{tabular}{|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline f & 15 & 22 & 11 & 7 & 3 & 2 \\ \hline \end{tabular} Which of the following is/are…
  169. Q101 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1The heights of 100 pea trees are measured to the nearest centimetre. The measurements are put into a frequency table. The diagram that will BEST illustrate this information is a
  170. Q111 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Item 11 refers to the following table which shows the daily sales (in thousands of dollars) of 2 outlets of a company in a given five-day period. \begin{tabular}{|l|c|c|c|c|c|} \hline & \multicolumn{5}{|c|}{Day} \\…
  171. Q121 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1In a pie chart drawn to illustrate the yearly expenditure for an adult, the sector representing transport measures 80^\circ. If the expenditure for transport is…
  172. Q131 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Item 13 refers to the following pie chart (not drawn to scale) which shows the distribution of four animals on a farm. If there are 16 turkeys on the farm, the total number of animals on the farm is
  173. Q141 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Items 14--15 refer to the following box-and-whisker plot. The interquartile range is
  174. Q151 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Items 14--15 refer to the following box-and-whisker plot. The distribution is
  175. 2(a)(i)4 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2Using groups of 10 and starting at 20, construct a stem-and-leaf diagram to show the data.
  176. 2(a)(ii)6 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2Use the stem-and-leaf diagram to determine the mode, median, interquartile range, and the number of students who got 60 marks or more.
  177. 2(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2State ONE disadvantage of displaying the data in this form.
  178. 2(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2State the boundaries of the SECOND class.
  179. 2(b)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2Calculate the frequency density of the FIFTH class.
  180. 2(b)(iv)11 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2Showing your method clearly, determine the mean number of days that the employees were late, the standard deviation, the median class, and the median number of days employees were late.
  181. Q21 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Item 2 refers to the following table which shows the number of goals scored by a football team in the 20 matches of a tournament. The mode of the distribution is
  182. Q31 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Which of the following statements is true of a histogram?
  183. Q61 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Items 6–7 refer to the following cumulative frequency curve which illustrates the results of an examination. How many students scored no more than 70 marks?
  184. Q71 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Items 6–7 refer to the following cumulative frequency curve which illustrates the results of an examination. How many students scored higher than the upper quartile?
  185. Q81 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Item 8 refers to the following box-and-whisker diagram (not drawn to scale). The interquartile range is
  186. Q91 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Item 9 refers to the following ogive which shows part of the donations a class of 55 students collected on a sponsored walk. The number of students who collected more than \30$ is
  187. Q101 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1The BEST measure of central tendency when there are extreme values in the data set is the
  188. Q111 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Items 11–13 refer to the following table which shows the age distribution of the 200 students of a dance school. The BEST diagram to show this distribution is a
  189. Q121 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Items 11–13 refer to the following table which shows the age distribution of the 200 students of a dance school. The median age of the students in the dance school is
  190. Q131 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Items 11–13 refer to the following table which shows the age distribution of the 200 students of a dance school. The mean age of the children in the dance school is
  191. Q141 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Items 14–15 refer to the following box-and-whisker plot. The interquartile range is
  192. Q151 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Items 14–15 refer to the following box-and-whisker plot. The distribution is
  193. 1(c)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Complete the cumulative frequency row in the provided table.
  194. 1(c)(ii)4 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2On the grid provided, draw a cumulative frequency curve to represent the data in the table, using a scale of 2 cm to represent 10 minutes on the x-axis and 2 cm to represent 10 children on the y-axis.
  195. 1(c)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Using your cumulative frequency curve, estimate the median time taken to complete the reading assignment.
  196. 1(c)(iv)3 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Using your cumulative frequency curve, estimate the interquartile range.
  197. 1(c)(v)2 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Using your cumulative frequency curve, estimate the proportion of children who took less than 35 minutes to complete the reading assignment.
  198. 2(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Identify the measure of variability that is influenced most by extreme values.
  199. 2(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Identify the measure of variability obtained by squaring the standard deviation.
  200. 2(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Identify the measure of variability that represents the middle 50 per cent of the distribution.
  201. 2(b)(i)4 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Calculate the 10% trimmed mean of the scores.
  202. 2(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Determine the modal score(s) of the examination data.
  203. 2(b)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Calculate the interquartile range of the 20 scores.
  204. 2(b)(iv)4 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Calculate the standard deviation of the scores.
  205. 2(b)(v)2 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Interpret the value of the standard deviation calculated in (b)(iv).
  206. 2(c)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Determine the median number of eggs per tray.
  207. 2(c)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Determine the mode of the distribution of eggs per tray.
  208. 2(c)(iii)4 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Calculate the mean number of eggs per tray.
  209. 2(c)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Describe the shape of the distribution.
  210. 6(c)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Calculate the sample mean and sample variance for these observations.
  211. 1(d)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2If the homeowner paid $60 for electricity, determine the total amount of money paid for bills.
  212. 1(d)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Calculate the amount of money paid for the telephone bill.
  213. 1(e)(i)5 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Draw a histogram on the grid provided to illustrate the information in the frequency table.
  214. 1(e)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Estimate the mode of the marks. You must show lines on the histogram drawn in (e)(i).
  215. 1(e)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2On the histogram drawn in (e)(i), draw a frequency polygon.
  216. 1(e)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2By observing the frequency polygon, determine the shape of the distribution.
  217. 1(e)(v)2 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2State whether the students performed better in the Mathematics examination or the English examination. Give ONE reason related to the skewness of the data presented in BOTH histograms to support your answer.
  218. 1(e)(vi)2 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2A student earned the following marks for 5 class activities in Mathematics: 40, 30, 40, 70, 60. Determine how many marks the student needs to earn for the 6th class activity in order to raise the student's average to 50.
  219. 2(a)(i)4 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Complete the cumulative frequency row in the table provided.
  220. 2(a)(ii)5 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2On the grid provided on page 9, draw the cumulative frequency curve to represent the information in the table.
  221. 2(a)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Determine the number of candidates who failed the exam if the pass mark was 60. You must show lines on the cumulative frequency curve drawn in (a)(ii).
  222. 2(a)(iv)3 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Determine the minimum mark required to score a grade A if 10 candidates earned A's in the examination. You must show lines on the cumulative frequency curve drawn in (a)(ii).
  223. 2(a)(v)3 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Calculate the mean score.
  224. 2(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Determine the median score.
  225. 2(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Determine how many students scored more than 60.
  226. 2(b)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Calculate the interquartile range.
  227. 2(b)(iv)3 marks· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2Construct a box-and-whisker diagram to represent the data in the stem-and-leaf plot.

Related topics in Module 1: Collecting and Describing Data