Percentile Example

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					   Definition of Percentile                     Formula: PS = P(N+1)

   A measure of location in a                   N = number of data points in the set
   distribution of numbers, that
   defines the value below which a              PS = the position of the data point
   given percentage of the data falls.          representing the percentile you want to find,
   For example, the 90th percentile is          counting from the bottom.
   the point below which 90 percent
   of the data falls.


                     Case      Pay Rates                Example: Determine the 60th
                     No.                                percentile
                      10       $ 9.50
                                                        PS = .60(10 +1)
                       9       $ 9.44                   PS = 6.6
                       8       $ 9.40                   Counting from the bottom, case
                                                        number 6.6 is in between $9.10
                       7       $ 9.23
                                                        and $9.23
                       6       $ 9.10                   To determine precisely the value
                       5       $ 9.00                   for the 60% percentile, subtract
                                                        $9.10 from $9.23. Multiple the
                       4       $ 8.85                   difference by .60 and add it to
                       3       $ 8.63                   $9.10. The 60th percentile value is
                                                        $9.178.
                       2       $ 8.40
                                                        60% of cases are less than $9.178,
                       1       $ 8.25                   and 40% are greater.


Source: “Glossary of Compensation & Benefits Terms”, American Compensation Association

				
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