Probability and Statistics

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

26. H5 Median = Mean

27. 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

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

29. Focus questions

30. 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?

31. 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

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

33. 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

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

35. Focus questions

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

37. 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?

38. 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.

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

40. The Process of Statistical Investigation

41. 5 Stage Process • Pose the Question • Collect the Data • Analyze the Data • Interpret the Results • Communicate the Results

42. NCMT Communication Standard

43. 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

44. January 28, 2009 New legislation

45. New Legislation

46. Lilly Ledbetter Fair Pay Act

47. Lilly Ledbetter Fair Pay Act

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

49. 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

50. 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 ?