Carbon dating range
Thus radiocarbon serves biblical chronology mainly by helping to eliminate large-scale biblical chronology errors arising out of misinterpretation of the biblical text or textual corruption.
(For a good example of the role radiocarbon plays in biblical chronology see Is Bryant Wood's chronology of Jericho valid? Once such large-scale errors have been eliminated the precision of biblical chronology rivals that of dendrochronology. Radiocarbon is not generally useful for narrowing the range of such biblical chronology dates further because radiocarbon tends to have poorer precision than biblical chronology.
Thus there are statistical counting uncertainties proportional to the square root of the number of atoms counted.Modern accelerator mass spectrometry (used for radiocarbon dating purposes to separate radiocarbon atoms from stable carbon atoms and count them) is quite precise.The technology involved is fascinating and impressive.This, in fact, is the most significant factor contributing to loss of precision in radiocarbon dates today.However, this contribution is usually only a few decades.