Quibble time. Although I agree with your preference, Paul, the math texts disagree with our mutual preference, per http://www.mathematicsdictionary.com/english/vmd/full/s/secondquartile.htm and tend to define quartile the same as quantile (which shows the percentage below any particular point). Suspect our bias towards non-math terms is influenced by the comp community's longstanding use of Range Quarters thus (mis)defined. For example, when we say that new hires usually fall within the "first quartile" and super-senior vets are in "the fourth quartile," we really mean quarters rather than quartiles.
Doubt anyone really cares except the statisticians and they find it hard to speak clearly, anyway.
E. James (Jim)