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Probability and Statistics

This overview details the agenda for Week 3 of ECI 695, focused on data collection, organization, and representation. Key concepts include cumulative frequency, median, mode, and different graphical representations such as bar graphs and line plots. Students will recap Annenberg Session 2, engage in data investigation activities, complete homework from Week 2, and tackle problems related to designing a data investigation. The session emphasizes the connection between data purpose and the design of statistical inquiries, equipping students with essential skills in statistics.

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Probability and Statistics

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  1. Probability and Statistics ECI 695 January 29, 2009 Day 3

  2. Steckroth Website • http://www.odu.edu/~jsteckro/ • Check this site for additional documents until Blackboard is operational

  3. Week 3 Agenda • Recap Annenberg, Session 2 • Data Organization and Representation • Homework from Week 2 • DMI Chapter 1, Getting Started with Data • Data Collection Activity • DMI Chapter 2, Designing a Data Investigation • New Legislation

  4. Week 3 Agenda • Recap Annenberg, Session 2 • Data Organization and Representation • Homework from Week 2 • DMI Chapter 1, Getting Started with Data • Data Collection Activity • DMI Chapter 2, Designing a Data Investigation • New Legislation

  5. Annenberg Session 2 Data organization and representation

  6. Session 2 Vocabulary • cumulative frequency • cumulative frequency • Table • discrete data • Distribution • Frequency • frequency bar graph • frequency table • Interval • line plot • Median • Mode • relative frequency • relative frequency bar graph

  7. Annenberg Part D The median

  8. The Median • From the list of data • From a line plot • Median Gizmo (ExploreLearning.com) • Median Sketchpad file

  9. Annenberg Part E Bar graphs and relative frequencies

  10. Frequency Bar Graphs • Three stages from Line Plot to Bar Graph • Line Plot • Dots and Rectangles • Frequency Bar Graph

  11. Beginning Stage

  12. Intermediate Stage

  13. Final Stage

  14. Relative Frequency

  15. Fractions, Decimals, Percentages

  16. Relative Frequency Bar Graph Relative Frequency Bar Graph

  17. Summary: session 2

  18. Summary • Data Organization and Representation • Patterns in Data • Line Plots • Frequency Tables • The Median • Bar Graphs and Relative Frequencies • Homework

  19. Week 3 Agenda • Recap Annenberg, Session 2 • Data Organization and Representation • Homework from Week 2 • DMI Chapter 1, Getting Started with Data • Data Collection Activity • DMI Chapter 2, Designing a Data Investigation • New Legislation

  20. Homework for Week 2 • Learner.org Session 2 Simulations • Solve the Session 2 Problems H1—H5 • Read Casebook Chapter 2 • Designing a Data Investigation • Bring measuring tape (cloth)

  21. How many raisins? • H1: Create line plots, frequency tables, and cumulative frequency tables. • Use your results to answer the question.

  22. Spreadsheet

  23. spreadsheet

  24. Summary of Data

  25. H5 Median = Mean

  26. Week 3 Agenda • Recap Annenberg, Session 2 • Data Organization and Representation • Homework from Week 2 • DMI Chapter 1, Getting Started with Data • Data Collection Activity • DMI Chapter 2, Designing a Data Investigation • New Legislation

  27. DMI Working with Data, Chapter 1 Getting started with data

  28. Focus questions

  29. Case 3 Olivia 2. In Olivia’s case 3, consider the data about family size: Write down a few statements that describe the data. What are the most important features of this data set?

  30. Week 3 Agenda • Recap Annenberg, Session 2 • Data Organization and Representation • Homework from Week 2 • DMI Chapter 1, Getting Started with Data • Data Collection Activity • DMI Chapter 2, Designing a Data Investigation • New Legislation

  31. How many pockets? • Video of students in Grade 2 • Question: How many pockets does each student have in the clothes he/she is wearing?

  32. Week 3 Agenda • Recap Annenberg, Session 2 • Data Organization and Representation • Homework from Week 2 • DMI Chapter 1, Getting Started with Data • Data Collection Activity • DMI Chapter 2, Designing a Data Investigation • New Legislation

  33. DMI Working with Data, Chapter 2 Designing a data investigation

  34. Focus questions

  35. Case 6, Andrea Think about the connection between the intention or purpose of data collection and how a data investigation is designed.

  36. Two Questions • How many people are in your family? • How many houses are on your street? • How could what you want to find out influence how you define each of these questions?

  37. Think about . . . • Think of two different ways in which you could define the important variables. • Give a reason why you might want to define the variable differently.

  38. Readings • Learning Statistics with Technology • A Framework for Assessing Knowledge and Learning in Statistics

  39. The Process of Statistical Investigation

  40. 5 Stage Process • Pose the Question • Collect the Data • Analyze the Data • Interpret the Results • Communicate the Results

  41. NCMT Communication Standard

  42. Week 3 Agenda • Recap Annenberg, Session 2 • Data Organization and Representation • Homework from Week 2 • DMI Chapter 1, Getting Started with Data • Data Collection Activity • DMI Chapter 2, Designing a Data Investigation • New Legislation

  43. January 28, 2009 New legislation

  44. New Legislation

  45. Lilly Ledbetter Fair Pay Act

  46. Lilly Ledbetter Fair Pay Act

  47. Against All Odds:Inside Statistics http://www.learner.org/vod/vod_window.html?pid=141 Describing Distributions

  48. Homework • Finish watching the video • Read “Learning Statistics with Technology” • Read “A Framework for Assessing Knowledge and Learning in Statistics” • Read Chapter 3 of DMI • Solve 1 problem about mean/median

  49. Mathematics: Question 34 11, 2, x, 7, 12 • The average (arithmetic mean) of the five numbers above is the same as the median of these numbers. • What is one possible value of x ?

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