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Probability and Statistics. ECI 695 February 5, 2009 Day 4. Steckroth Website. http://www.odu.edu/~jsteckro/ Check this site for additional documents until Blackboard is operational. Week 4 Agenda. Blackboard Describing Distributions Video Solve 1 problem about mean/median
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Probability and Statistics ECI 695 February 5, 2009 Day 4
Steckroth Website • http://www.odu.edu/~jsteckro/ • Check this site for additional documents until Blackboard is operational
Week 4 Agenda • Blackboard • Describing Distributions Video • Solve 1 problem about mean/median • Learning Statistics with Technology • Chapter 3 of DMI
Against All Odds:Inside Statistics http://www.learner.org/vod/vod_window.html?pid=141 Describing Distributions
Three Segments • Fair Pay • Hotdog Content • Musical Urine Sample
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 ?
Readings • A Framework for Assessing Knowledge and Learning in Statistics • Learning Statistics with Technology
5 Stage Process • Pose the Question • Collect the Data • Analyze the Data • Interpret the Results • Communicate the Results
The Hat Problem LEARNING STATISTICS WITH TECHNOLOGY
Battle of the Brains • Compare ASU student data with ours • Five-number summary • Mean • Interquartile Range • Standard Deviation
Head Circumference DataODU Prob/Stats Students Portsmouth Eastern Shore 57 52 55 62 58 58 58 57 57 58 57 59 55 57 59
Head Circumference DataODU Prob/Stats Students Portsmouth Eastern Shore 57 52 55 62 58 58 58 57 57 58 57 59 55 57 59
Quartiles • Lower Quartile • Upper Quartile
MIN LQ MED UQ MAX
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
MIN LQ MED UQ MAX
MIN LQ IQR = 58 – 57 = 1 MED UQ MAX
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
Finding the Standard Deviation • Spreadsheet