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Unformatted text preview: ENGR 195 Transforming Ideas to Innovation I Prof. Ruth Streveler Tuesday, October 20, 2009 Overview l Announcements l Histograms l Normal Distributions l Six Sigma Announcements l Today Class 9a get peer feedback on Task 2 from class 8b l Class 9b FY advisors to help you with Spring registration l BRING PRINTOUT OF YOUR PURDUE TRANSCRIPT from MyPurdue with you l Class 10a Stats homework due (posted today) l Class 10b Project 2, Milestone 1 due l Class 11b CCCD paper due Task 2 l Be sure your name is on your paper l Give your paper to the person to your right. l Check for: Title present and complete (& descriptive) Units present Sig figs appropriate Sample size given (n=___) # columns < # rows l Return to the person who completed the homework l Future tables will be graded using these criteria Learning Objectives At the end of this class period, you will begin to be able to: l Create histograms in Excel l Discuss how to manage outliers l Interpret the shape of a distribution l Describe a normal (bellshaped) distribution l Apply the concept of Six Sigma to a simple example Probability Distributions Plot of probability of occurrence vs. value The bell curve is a normal distribution describes the behavior of many, but NOT ALL datasets Variability is a clue to the underlying phenomena not necessarily an indication of error. There is an equation for the curve, but we usually look up the values in practice. Histograms l Normal curve and earlier plot are examples l Show how data are distributed over the range l Divide the data into bins and plot the number of occurrences (frequency) in each interval l What does the area of a histogram represent? l How many bins is the right number? l A good rule of thumb is (# of datapoints) l Use round numbers l Consider the data you dont want to distort it n = 65 (male) Mean: 98.1 Standard Deviation: 0.6988 Histogram of Male Body Temp 2 4 6 8 10 12 Body Temperature of Male Adults Temperature (deg F) Frequency Classification Intervals = Bins l bins store information on frequency of occurrence l Excel l The numeric bin values represent the right handsides of the bins l Bins are noninclusive on left boundary (Leftbin boundary < x <= Rightbin boundary) l Manual setting of the bin boundaries is always required 2 4 6 8 10 12 Body Temperature of Male Adults Temperature (deg F) Frequency Reading Histograms in Excel 97 is the label for the BIN UPPER EDGE 2 4 6 8 10 12 Body Temperature of Male Adults...
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 Spring '08
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