Is it either or?

Are type and continuum mutually exclusive? A favorite physical analogy for type is handedness… yet, while it’s relatively easy to sort people as right or left handed, there are several scales that measure the degree of handedness, whichever its direction. One could agrue that the correlational studies suggest that a continuum exists. Other tools that use a Likert scale certain produce evidence of a continuum and concurrent development of type related processes. What does the evidence suggest in your view?