Low weight and non-square carpet tile suitable for use in mass transit vehicles, particularly passenger aircraft. The carpet tile preferably weighs less than about 82 ounces per square yard. The carpet tile of this invention may have a carpet pile and at least one backing layer. The backing layer may use a low weight filler material. The carpet tiles satisfy transportation industry standards for flame, smoke and toxicity. Tiles may be sized during manufacture and installed in configurations that minimize the number of tile sizes needed and minimize the need for cutting tiles during installation. The patterns used for such tiles may be orthogonally ambiguous or otherwise suitable for “random” installation. In other embodiments, a passenger aircraft cabin includes a floor having rectangular carpet tiles installed thereon, and the carpeting can be installed in the aircraft without removing seats from the aircraft.