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Probability and Statistics

This resource provides insights into statistics with a focus on describing distributions. It covers essential concepts such as mean, median, and various data visualization techniques, including histograms and box plots. The material supports statistical investigations through a structured process: posing questions, collecting data, analyzing findings, and communicating results. Additional resources, such as a video on describing distributions, are also linked for further learning. Engage with practical homework problems to strengthen your understanding of statistical measures.

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Probability and Statistics

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Presentation Transcript

  1. Probability and Statistics ECI 695 February 5, 2009 Day 4

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

  3. Week 4 Agenda • Blackboard • Describing Distributions Video • Solve 1 problem about mean/median • Learning Statistics with Technology • Chapter 3 of DMI

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

  5. Three Segments • Fair Pay • Hotdog Content • Musical Urine Sample

  6. Lilly Ledbetter Fair Pay Act

  7. HOTDOG CONTENTS

  8. MUSICAL URINE SAMPLE?

  9. HOMEWORK PROBLEMPSAT 34

  10. 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 ?

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

  12. The Process of Statistical Investigation

  13. 5 Stage Process • Pose the Question • Collect the Data • Analyze the Data • Interpret the Results • Communicate the Results

  14. The Hat Problem LEARNING STATISTICS WITH TECHNOLOGY

  15. ASU HEAD DATA ANALYSIS

  16. HeadCircumference

  17. Line Plot

  18. Stem and Leaf Plot

  19. Histogram 1

  20. Histogram 2

  21. Histogram 3

  22. Histogram 4

  23. Histogram 5

  24. Battle of the Brains • Compare ASU student data with ours • Five-number summary • Mean • Interquartile Range • Standard Deviation

  25. Summary of ASU Data

  26. HeadCircumference

  27. Head Circumference DataODU Prob/Stats Students Portsmouth Eastern Shore 57 52 55 62 58 58 58 57 57 58 57 59 55 57 59

  28. Head Circumference DataODU Prob/Stats Students Portsmouth Eastern Shore 57 52 55 62 58 58 58 57 57 58 57 59 55 57 59

  29. 5-NUMBER SUMMARY

  30. Quartiles • Lower Quartile • Upper Quartile

  31. MIN LQ MED UQ MAX

  32. Five Number Summary ODU Prob/Stats Students ASU Stats Students Min 53 LQ 56 Med 57 UQ 58 Max 62 • Min 52 • LQ 57 • Med 57 • UQ 58 • Max 62

  33. BOX PLOT

  34. BOX PLOTBOX AND WHISKERS PLOT

  35. ASU Student Data

  36. MEASURES OF VARIATION

  37. INTERQUARTILE RANGE

  38. MIN LQ MED UQ MAX

  39. MIN LQ IQR = 58 – 57 = 1 MED UQ MAX

  40. ASU IQR ODU Prob/Stats Students ASU Stats Students Min 53 LQ 56 Med 57 UQ 58 Max 62 • Min 52 • LQ 57 • Med 57 • UQ 58 • Max 62 IQR = 58 – 56 = 2

  41. Comparison of ODU vs ASU

  42. STANDARD DEVIATION

  43. Standard Deviation Formulas

  44. Finding the Standard Deviation • Spreadsheet

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