From fract(ion) +‎ -ile.

fractile (plural fractiles)

1. (statistics) The value of a distribution for which some fraction of the sample lies below.

   The q-quantile is the same as the (1/q)-fractile.

   The median is the .5-fractile.

   • 2011 January 31, Anil K. Bera, Aurobindo Ghosh, Zhijie Xiao, “FRACTILES ON QUANTILE REGRESSION WITH APPLICATIONS”, in Mathematics Subject Classification‎^[1], archived from the original on 12 September 2025, page 2:

     Mahalanobis used a visual method of approximating the standard error of the income at all the fractiles of the covariate for the same graph by taking two independently selected "interpenetrating subsamples" and obtaining a graph for each of the subsamples besides the combined sample. […] The method proposed by Mahalanobis for estimating the error area of a fractile graph was later hailed as a precursor to the genesis of latter day bootstrap methodology (Efron 1979a,b; Hall, 2003).

• quantile

From fract(ure) +‎ -ile.

fractile (comparative more fractile, superlative most fractile)

1. Describing the quality of a sedimentary stone as it relates to the sediments to cohesively bond without fracturing.

   A stone with a low fractile strength lacks tensile strength and will crack or crumble under stress or pressure.

   • 1997 March 30, Paula Budlong Cronin, “Unexpected Zanzibar”, in The New York Times‎^[2], archived from the original on 6 September 2020:

     Most of the three- and four-story white-washed buildings that we passed were built of pink coraline, which is both plentiful and fractile, and date back centuries to when Omanis and Indians based on Zanzibar dominated the African East Coast trade.

• race lift