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Chem%20315%20-%20012110

Chem%20315%20-%20012110 - Chem 315 Favorite Colors Green...

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Chem 315 Favorite Colors Green Blue Brown Purple Gold Pink Red Maroon Orange
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0 2 4 6 8 10 12 14 0 1 2 3 4 5 Adhesion (nN) pH 3 normal distribution (Gaussian) 240 250 260 270 280 290 300 310 Properties of a Gaussian distribution • symmetric about the mean (avg. value) • can be used in a predictive fashion to where certain values will come.
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Center value is the mean value (average) For our seven values: 250.14286 mg 250 mg The width of the distribution is given by the standard deviation, s For an ~ infinite data set μ = population mean (true mean) σ = SD n x x n i i = = 1 1 ) ( 1 2 - - = = n x x s n i i n x n i i = - = 1 2 ) ( μ σ ±4.67
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s x 1 ± s x 2 ± s x 3 ±
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Other terms to remember. . . Range = |highest – lowest| Median – middle value of the data when arranged from highest to lowest value Go back to our 7 range: 257-243=14 median 243, 247, 248, 250, 252, 254, 257 Odd # data Even # data – avg. two middle values
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Example: For the set of data: 3.5, 3.1, 3.1, 3.3, 2.5 determine the mean, median, range and standard deviation.
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