Without knowing much about psychology, I would imagine separating the mindset into a set of orthogonal axis is pretty difficult and certainly the normal range would probably not follow a normal distribution in each axis. As a result the N-dimensional volume would not be a N-sphere but some complex topological shape. Possibly even consisting of multiple disjointed sets. If any of these assumptions are true then the global point average over the entire space may lie outside many of the “normal” ranges.