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Univariate Distributions

Univariate Distributions. Overview. I. Exploring Data. Describing patterns and departures from patterns (20%-30%)

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Univariate Distributions

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  1. Univariate Distributions Overview

  2. I. Exploring Data Describing patterns and departures from patterns (20%-30%) Exploring analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns. Emphasis should be placed on interpreting information from graphical and numerical displays and summaries.

  3. I. Exploring Data • Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot) • Center and spread • Clusters and gaps • Outliers and other unusual features • Shape

  4. Multiple Choice Questions • Read and think for one minute, and write your answer. • Discuss with group members for 30 seconds and decide on a final answer. • Discuss as a group for as long as we need to. . .

  5. Source: AP Practice Exam

  6. Answer: B

  7. Source: AP Practice Exam

  8. Answer: D

  9. Source: 2001 AP Exam

  10. I. Exploring Data • Summarizing distributions of univariate data • Measuring center: median, mean • Measuring spread: range, interquartile range, standard deviation • Measuring position: quartiles, percentiles, standardized scores (z-scores) • Using boxplots • The effect of changing units on summary measures

  11. Source: 2007 AP Exam

  12. Answer: C

  13. Source: AP Course Description

  14. Answer: B

  15. Answer: E

  16. Source: AP Practice Exam

  17. Answer: C

  18. Source: AP Practice Exam

  19. Answer: E

  20. Source: AP Practice Exam

  21. Answer: A

  22. Free Response Questions • We’ll do each one a little differently, so listen for directions. • They’ll all start with you reading and answering the question, but a bit faster than you would need to do on the actual exam.

  23. Source: AP Practice Exam

  24. I. Exploring Data • Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) • Comparing center and spread: within group, between group variables • Comparing clusters and gaps • Comparing outliers and other unusual features • Comparing shapes

  25. Source: 1997 AP Exam

  26. Answer: B

  27. Source: 1997 AP Exam

  28. Answer: A

  29. Source: 2006 AP Exam

  30. Source: 2006 AP Exam

  31. Source: 2006 AP Exam

  32. Source: 2006 AP Exam

  33. Source: 2006 AP Exam

  34. Source: 2006 AP Exam

  35. Source: 2011 AP Exam

  36. Source: 2011 AP Exam

  37. Source: 2011 AP Exam

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