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ENGR131_FA10_Carnes_04a

ENGR131_FA10_Carnes_04a - 4A 1 Please No computers open...

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4A 1
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Section 015 Prof. Carnes GTA Leyla Yamin Class 4a Please: No computers open during the QA session
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3 DESIGN CAREER MODEL PROFESSIONAL HABITS Effective communication involves modeling Engineers use statistics to “model” problem and solutions
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Learning goals Model Compute descriptive statistics (using Excel) Interpret the shape of a distribution Describe a normal distribution and the concept of Six Sigma Interpret analyzed data and graphical representations to explain relationships or make predictions 4
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Getting started In your team What does the representation on the next slide communicate? What claims can you make with it? Share 5 Class Discussion Discuss in team
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6 National Survey of Student Engagement – 470 schools (2001) Reported number of hours per week spent preparing for class Percent of students responding Message: lots of similarities but also differences, typical time spent each week preparing for class in the range of 6-10 hours, big data set Doesn’t tell us: link between hours spent preparing and success, does “more” = “better”? Also, this is self-report data.
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Why learn statistics? Goal Make a compelling argument E.g., claims regarding desirability, feasibility, viability Not enough to have a logical conclusion Different perspectives often have different logic Not enough to have data Is it “good” data? Need Trustworthy data and chain of reasoning Claim = Data + Reasoning
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Descriptive Statistics 3 measures of central tendency median, mode, mean
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Descriptive Statistics Median: midpoint ” or “middle score” Odd number of entries = middle value of a sorted data set For even number of entries = average of the two middle values Mode: The most frequently occurring value in a data set (e.g., frequency distribution) For data that is “normally distributed”, mean = median = mode
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Descriptive Statistics Mean: In Excel, “average” = “mean” FYI – “mean” and “average” are not always synonymous Arithmetic mean = Sum of the observations divided by the number of observations What does this look like as a formula ?
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Notation for Mean Mathematically: What would this look like in EXCEL? See page 169 in Preliminary Edition = = + + + = n i i n x n n x x x x 1 2 1 1 ) ..... ( Mean, “x-bar”
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Team exercise: Calculating mean & median (5 minutes) Calculate the median and mean for the following set of data: 14, 4,10 ,8 ,6, 12, 16 What happens to the median and mean if the last number (16) is replaced by 86?
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