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Probability and Statistics

Probability and Statistics. ECI 695 January 29, 2009 Day 3. Steckroth Website. http://www.odu.edu/~jsteckro/ Check this site for additional documents until Blackboard is operational. Week 3 Agenda. Recap Annenberg, Session 2 Data Organization and Representation Homework from Week 2

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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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