I’m think of myself as normal enough. I’m a self-supporting single adult with a few issues, but generally I work hard, play plenty and am stable.
I’m not exactly average compared to others in my demographic, though - this includes my extended family and a majority of my friends. Most of them have at least a Bachelors, ‘real’ jobs and/or career paths, and have started down the road toward spouse and children by my age.
Although I dismissed the question, in fact this question and I go a long way back together. I spent my life with people everywhere I went telling me I was weird. That got old. My gender issues (having been assigned the wrong gender at birth) just threw everything off and made me a constant misfit in everything. I got so tired of being judged “weird” by everybody that when I transitioned it was a great relief that now I could just be me and finally fit in with life the way I’d always wished I could. Since I’m no longer divided against myself but am a whole person at last, I’ve left that stigma of weirdness behind.
I still don’t believe that the concept “normal person” has any definite existence in reality, though.