ChE253K Spring09 Lecture04.Rev01

# ChE253K Spring09 Lecture04.Rev01 - Class Business Revd...

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1 UT ChE 253K Lecture 04 02/26/10 Class Business Rev’d Homework 01 Classwork-Homework 1-D Data Plots Spreadsheet

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2 UT ChE 253K Lecture 04 02/26/10 How To Summarize 1-D Data: Descriptive Statistics
3 UT ChE 253K Lecture 04 02/26/10 Outline Of This Lecture Data: Burn Fuel SOx Emissions 1-D Data Model. Assumptions verified. Centers: Mean, Median, Mode Percentiles & Percentages Spreads: Range, Std Deviation, IQR Relative Std Deviation. P or A? Confidence Interval of Mean. P or A?

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4 UT ChE 253K Lecture 04 02/26/10 Readings Re: This Lecture Mean, Median, Mode Sample Std Deviation Text Section 2.5 - 2.7 (Box Plots next week) Confidence Limits Confidence Limits Calc’s (posted reading) (posted reading)
5 UT ChE 253K Lecture 04 02/26/10 Data: SOx Emissions (tons/day) x(i)= {15.8 26.4 17.3 11.2 23.9 24.8 18.7 13.9 9.0 13.2 22.7 9.8} (N=12) x(i)= { 9.0 9.8 11.2 13.2 13.9 15.8 17.3 18.7 22.7 23.9 24.8 26.4} (Ascending) Sources: Miller & Freund’s Prob & Stat for Engineers, 7 th Ed.

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6 UT ChE 253K Lecture 04 02/26/10 1-D Data Model: X = Mean ± SD × NormalRandom Assumptions Plots ?? Stable location and spread unControl Chart Random and uncorrelated Lag Plot X(i) vs. X(i-1) Single, clear center Standard shape Histogram Normal distribution Normal Probability Paper Plot 0 10 20 30 40 50 0 20 40 60 80 Sequence easurements 0 10 20 30 40 50 0 10 20 30 40 50 X(i-1) X(i) 0 5 10 15 20 25 30 <9 11 15 19 21 27 31 Interval Midpoint Frequenc
7 UT ChE 253K Lecture 04 02/26/10 Mean Center-of-mass = Σ x(i)/N Median Middle of the ascending data. Odd N: Middle point Even N: Mean of the middle pair Mode Most frequent data value or values Mean Median Mode

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8 UT ChE 253K Lecture 04 02/26/10 Mean = Σ x(i)/N = 206.7/12 = 17.2 Median = Mean(middle pair) = (15.8 + 17.3)/2 Mode = None No repeated values Mean Median Mode 17.2 16.6 None
UT ChE 253K Lecture 04 02/26/10 Measurement Percentile as Cumulative Freq Percentage 0 20 40 60 80 0 10 20 30 40 SOX Percentile Cumulative Frequency 0 25 50 75 100 Percentage 20 is the 55 th Percentile,” because . .. ... because

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## This note was uploaded on 02/25/2010 for the course CHE 253k taught by Professor Staff during the Spring '08 term at University of Texas at Austin.

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ChE253K Spring09 Lecture04.Rev01 - Class Business Revd...

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