FAQ/percentile - CBU statistics Wiki

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Percentiles of exponential data

If the data follows an exponential distribution (test this by using Kolmogorov-Smirnov test in SPSS and choosing the exponential option). Then

- (Mean score) (LN(1- PERC/100 ) gives the threshold of the PERC% percentile.

This follows from

P(X < x) = 1 – EXP(-R*score) where rate, R, is estimated from the sample data by 1/mean.