Pressure
Sunray's account of bedding is dead on. A floating barrel is not always the most accurate. Something like fifty years ago, in what I like to call the glory days of shooting, the barrels were usually bedded with pressure. In fact, the figure of six pounds pressure to move the barrel away from the pressure point, for average sporting weight barrels, was an accepted figure of pressure.
James Sweet, in a book from the 1950s entitled, "Competitve Rifle Shooting," about the service target rifles, refers to the importance of proper pressure on the barrel, but doesn't give a figure in pounds. Part of any target shooters equipment was a spring scale, with the hook on the end. One would hold the rifle upright, put the hook over the barrel, then see what pressure was required to move the barrel from the pressure point on the stock.