2.6 Numerical Measures of Relative Standing

Teaching Tip

Use the SAT and ACT college entrance examinations as an example of the need for measures of relative standing. Note that all test scores reported contain a percentile measurement for use in comparison.

We’ve seen that numerical measures of central tendency and variability describe the general nature of a quantitative data set (either a sample or a population). In addition, we may be interested in describing the relative quantitative location of a particular measurement within a data set. Descriptive measures of the relationship of a measurement to the rest of the data are called measures of relative standing.

One measure of the relative standing of a measurement is its percentile ranking ...

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