Section3-4

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

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Measures of Relative Standing and Boxplots A. Bourhim Syracuse University MAT121-Fall 2011 A. Bourhim (Syracuse University) Measures of Relative Standing and Boxplots MAT121-Fall 2011 1 / 1
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Introduction In this section, we introduce and discuss different measures which show the location of data values relative to the other values within a data set. The most important concept is the z score. z score The z score (or standardized value) of a data value x is Population : z = x - μ σ . Sample : z = x - x s . It tells you how many standard deviations x is above or below the mean. Remark Round z scores to 2 decimal places such as 2.34. z scores are unit free. The z score is zero precisely when x coincides when the mean. The z score is positive when x is above the mean, and is negative when x is below the mean. A. Bourhim (Syracuse University) Measures of Relative Standing and Boxplots MAT121-Fall 2011 2 / 1
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Remark x is usual if - 2 z score 2 . x is unusually high if 2 < z score . x
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Section3-4 - Measures of Relative Standing and Boxplots A....

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