Stats 309 4-3 & 4-7

Stats 309 4-3 & 4-7 - 4.3 Measures of Relative Standing...

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4.3 Measures of Relative Standing and Box Plots Measures of relative standing are designed to provide information about the position of particular values relative to the entire data set. The median is a measure of relative standing in addition to being a measure of central tendency. Percentile -the p th percentile is the value for which p percent are less than that value and 100- p percent are greater than that value. Sometimes our standardized test scores are given to us in percentiles. We have special names for the 25 th , 50 th , and 75 th percentiles. These divide the set into quarters, so they are called quartiles . The 25 th percentile is called the lower quartile and is usually denoted as Q 1 or Q L . The 50 th percentile is called the second quartile and is also the median and is sometimes denoted as Q 2 . The 75 th percentile is called the upper quartile and is usually denoted as Q 3 or Q U .
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Finding a percentile: First, we need to find the location of the percentile : . percentile pth the of location the is L where 100 ) 1 ( p p n L p + = The
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This note was uploaded on 04/09/2008 for the course MTHSC 309 taught by Professor Cathydavis during the Spring '08 term at Clemson.

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Stats 309 4-3 & 4-7 - 4.3 Measures of Relative Standing...

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