Here is

Here is a data set (n=117) that has been sorted.

10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1
19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22
22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1
24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9
26 26.1 26.2 26.7 26.8 27.5 27.6 27.7 27.7
27.7 28.2 28.8 28.8 28.9 29.4 29.6 29.7 29.7
29.8 29.9 30 30.1 30.1 30.3 30.4 30.4 30.6
30.7 30.7 30.8 30.9 31.1 31.2 31.2 31.5 31.9
31.9 32 32.2 32.5 32.5 32.6 33.3 33.4 33.4
33.5 33.7 34 34 34.2 34.3 34.7 35.3 35.7
36.1 36.2 36.4 37.1 37.4 37.9 38 38.1 38.8
40 40 40.5 40.5 40.9 41 41.3 41.7 41.7
42.4 42.4 42.4 43.5 43.6 44.5 46.8 47.1 47.9


Find the 92nd-Percentile:

Correct result:

p92 =  42.4

Solution:

n=117 p=92  i=p100 n=92100 117=269125=107.64  i1=[i]=[107.64]=108  p92=data[i1]=data[108]  p92=42.4=2125



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