What does skinny mean?

Since I’ve lost 145+ pounds, the term “skinny” has been getting bandied about quite a bit.  As in, “you are getting so skinny,” “look at you, Skinny Minnie,” etc.  “Skinny Minnie” being a phrase I abhor.  But what does it mean?  I may have lost a lot of weight, but by society’s standards, as well as a physician’s standards, I am still a great deal overweight.  I still have approximately 40 lbs to go.  I am far from skinny.  The only thing I can determine is that because they knew me before I began losing the pounds, I am indeed, in their eyes, skinnier than I was.  In comparison, I’m sure I do look skinny.  But I realize, every time I walk out into public, that the world still sees me as just another overweight person.