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Unformatted text preview: 4A 1 Section 015 Prof. Carnes GTA Leyla Yamin Class 4a Please: No computers open during the QA session 3 DESIGN CAREER MODEL PROFESSIONAL HABITS Effective communication involves modeling Engineers use statistics to model problem and solutions 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 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 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 610 hours, big data set Doesnt tell us: link between hours spent preparing and success, does more = better? Also, this is selfreport data. 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 Descriptive Statistics 3 measures of central tendency median, mode, mean 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 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 ? 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, xbar 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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 Fall '10
 Purzer

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