Editing Percentile (section)

====Second variant, ''C'' = 1====
[Source: Some software packages, including [[NumPy]]<ref name="numpydocs">{{cite web
| url = https://docs.scipy.org/doc/numpy/reference/generated/numpy.percentile.html
| title = NumPy 1.12 documentation
| access-date = 2017-03-19
| publisher = [[SciPy]]
}}</ref> and [[Microsoft Excel]]<ref name="pottel" /> (up to and including version 2013 by means of the PERCENTILE.INC function). Noted as an alternative by [[National Institute of Standards and Technology|NIST]].<ref name="nist">{{cite web
| url = http://www.itl.nist.gov/div898/handbook/prc/section2/prc262.htm
| title = Engineering Statistics Handbook: Percentile
| access-date = 2009-02-18
| publisher = [[NIST]]
}}</ref>]

: <math>x = f(p,N) = p(N-1)+1 \text{, } p\in[0,1]</math>
: <math>\therefore p = \frac{x-1}{N-1} \text{, } x\in[1,N].</math>
Note that the <math>x\leftrightarrow p</math> relationship is one-to-one for <math>p\in[0,1]</math>, the only one of the three variants with this property; hence the "INC" suffix, for ''inclusive'', on the Excel function.