Since the SR5 Core doesn't (at least as far as I can see) give a breakdown for what Attribute ratings actually mean I went back and had a look at the SR420A Core. Since the conversion guide that originally came out stated that Attributes were unchanged from 4th to 5th Ed I feel that these still stand:
1 Weak
2 Underdeveloped
3 Typical
4 Improved
5 Superior
6 Max unmodified human
So, for example, a Strength 1 Body 5 character is (to me) husky, tending to fat, with little or no muscular development. Charisma 1 is, for whatever reason, so dull that ditchwater actively avoids its company. As for Logic 1, well, they should never be the guy doing your planning (c.f. Maverick, Arcology Podcast).
This is why I try and avoid any Stats at 1 unless they are being used to underpin a particular peculiarity of the character. If I have to take Attributes at Priority E then I don't try and make any Stat spectacular, because by making Attributes the lowest Priority I've stated that they are simply the least important part of that character.
Any thoughts?