Section3-4 - Measures of Relative Standing and Boxplots A...

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Measures of Relative Standing and BoxplotsA. BourhimSyracuse UniversityMAT121-Fall 2011A. Bourhim (Syracuse University)Measures of Relative Standing and BoxplotsMAT121-Fall 20111 / 1
IntroductionIn this section, we introduce and discuss different measures which show thelocation of data values relative to the other values within a data set. The mostimportant concept is thezscore.zscoreThezscore (or standardized value) of a data valuexisPopulation:z=x-μσ.Sample:z=x-xs.It tells you how many standard deviationsxis above or below the mean.RemarkRoundzscores to 2 decimal places such as 2.34.zscores are unit free.Thezscore is zero precisely whenxcoincides when the mean.Thezscore is positive whenxis above the mean, and is negative whenxis below the mean.A. Bourhim (Syracuse University)Measures of Relative Standing and BoxplotsMAT121-Fall 20112 / 1

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