LIST OF QUESTIONS FOR AP EXAM IN STATISTICS Part 1. EXPLORATORY ANALYSIS OF DATA THEORETICAL QUESTIONS DATA 1. What is data? 2. What is element? 3. What is variable? 4. What is observation? 5. Which scales of measurement do you know? 6. What is nominal scale? 7. What is ordinal scale? 8. What is interval scale? 9. What is ratio scale? 10. What are conditions for scale to be ratio scale? 11. What is numerical and non-numerical data? 12. What is qualitative (categorical) data? 13. What is quantitative data? 14. What scales uses qualitative (categorical) data? 15. What scales uses quantitative data? 16. Can quantitative data be non-numerical? 17. Can qualitative data be numerical? 18. What are differences between statistical analysis of qualitative and quantitative data? 19. What is discrete data? 20. What is continuous data? 21. What is cross-sectional data? 22. What is time series data? DESCRIPTIVE STATISTICS 23. What is descriptive statistics? 24. What methods are used in descriptive statistics? 25. What is distribution? 26. What is frequency? 27. What is relative (percent) frequency? 28. What is cumulative frequency? 29. What is center? 30. What is spread? 31. What is shape? 32. What is cluster? 33. What is gap? 34. What is outlier? GRAPHICAL DIPLAY 35. What types of graphical displays do you know? 36. What elements should contain correct statistical graph? 37. What is dotplot? 38. What is bar-chart (or bar graph)? 39. What is pie-chart (or pie graph)? 40. What is stem-plot (stem and leaf graph)? 41. What is histogram? 42. What is box-plot? 43. What are characteristics of the shape of graphical display? 44. Which distribution is called symmetrical? 45. Which distribution is called skewed? 46. How to tell whether the distribution is called skewed to the left or to the right? 47. What is difference between bar chart and histogram? 48. Which graphs can be used for describing and analysis of qualitative data? 49. Which graphs can be used for describing and analysis of quantitative data? SUMMARIZING DISTRIBUTIONS 50. What is the usual procedure for describing the distribution? 51. What are main characteristics of the center? 52. What are main characteristics of the spread? 53. What are main characteristics of the shape? 54. What are the characteristics of significant features of the distribution? 55. What is mean? 56. What is median? 57. What is mode? 58. What are relations between mean and median for the symmetric distributions? 59. What are relations between mean and median for the skewed distributions? 60. What is range? 61. What is the first (lower) quartile? 62. What is the third (upper) quartile? 63. What is the p-percentile? 64. What is IQR (Inter Quartile Range)? 65. What is standard deviation? 66. What is the difference between population standard deviation and sample standard deviation? 67. What is variance? 68. What is the difference between population variance and sample variance? 69. What is individual data? 70. What is grouped data? METHODS OF CONSTRUCTING AND ANALYSING DESCRIPTIVE STATISTICS USING GRAPHS 71. How to construct dot-plot? 72. What are advantages and disadvantages of a dot-plot? 73. How to construct bar-chart? 74. What are advantages and disadvantages of a bar-chart? 75. How to construct stem-plot? 76. What can be taken for stem in stem-plot? 77. What rules are for presenting leaves in stem-plot? 78. How to construct and use parallel stem-plot? 79. What are advantages and disadvantages of a stem-plot? 80. How to find the median using stem-plot? 81. What is formula for finding p-percentile? 82. How to find the first (lower) quartile using stem-plot? 83. How to find the third (upper) quartile using stem-plot? 84. What is corrected method to find the first (lower) quartile using discrete data? 85. What is corrected method to find the third (upper) quartile using discrete data? 86. How to find range using stem-plot? 87. How to find IQR using stem-plot? 88. What can you learn from the stem-plot? 89. How to construct histogram? 90. How to choose the number of intervals for the histogram? 91. How to find median using histogram? 92. What is exact method to find median using histogram? 93. What can you learn from the histogram? 94. How to construct box-plot? 95. What is box and what are whiskers when using box-plot? 96. How the median is represented on the box-plot? 97. What is formula to detect outliers? 98. What is fence when using box-plot? 99. How outliers are represented on the box-plot? 100. How to construct parallel box-plot? 101. How to find IQR using stem-plot? 102. What can you learn from the box-plot? 103. What can you learn from the parallel box-plot? 104. How to construct ogive (cumulative frequency curve)? 105. How to find median using ogive (cumulative frequency curve)? 106. How to find the first (lower) quartile using ogive (cumulative frequency curve)? 107. How to find the third (upper) quartile using ogive (cumulative frequency curve)? 108. How to construct time series plot? 109. How to analyze time series plot? USING FORMULAS 110. What is formula for the mean for the individual data? 111. What is formula for the mean for the grouped data? 112. What is formula for sample standard deviation? 113. What is formula for population standard deviation? 114. 115. 116. When the formula for sample standard deviation is used? When the formula for population standard deviation is used? What is formula for the sample variance? 117. 118. 119. 120. What is formula for the population variance? What is standardized score (z-score)? How standardized score (z-score) can be used to describe individual data? What is the effect of changing units on each of summary statistics PRACTICE OF USING GRAPHING CALCULATORS GENERAL COMPETENCES 121. How to switch on and off your calculator? 122. How to restore original settings of your calculator? 123. How to use graphical menu? 124. 125. 126. 127. How to perform arithmetic calculations? How to switch between different tasks and displays? How to delete data (digit, number, list)? How to enter data in a list? 128. 129. 130. How to enter grouped data in two lists? How to use <SET> before analyzing data? How to check data using calculator? STATISTICAL CALCULATIONS 131. How to get summary statistics of the variable (individual data)? 132. How to get summary statistics of the variable (grouped data)? 133. How to order data in ascending order? 134. How to choose types of graphs for display? 135. How to construct a histogram using calculator? 136. How to display two or three graphs simultaneously? 137. How to choose starting point and pitch (width) when constructing histogram? 138. How to read characteristics of the histogram using <TRACE>? 139. How to construct a box-plot using calculator? 140. How to display two and three parallel box-plots on the screen? GENERAL RULES FOR SOLUTION OF AP PROBLEMS 141. How much time is given in the exam at the test question? 142. How much time is given in the exam at the free response question? 143. What are the parts of the exam, when one can use graphing calculators? 144. What are four parts of solution of any free response problem in AP statistics? 145. What should be presented in introductory part of your solution of the problem? 146. What should be presented in theoretical part of your solution of the problem? 147. What are rules to present your calculations and graphs? 148. What should be presented in conclusive part of your solution of the problem? 149. How these parts of the solution are graded? 150. What is the difference in grading systems of ICEF exams and AP exam?