Should a 6’0 woman and a 5’9 woman weigh the same?

I mean tall women should weigh more than short petite ladies right? I mean both a 6’0 woman and 5’9” woman can weigh the same. They’re only a three once difference. I’m 6’0” tall so that’s why I’m asking. Someone said I should weigh more than my 5’9 cousin.

6’0” woman normal weight: 144lbs - 176lbs (it always changes)

5’9” woman normal weight: 131lbs - 160lbs

Should a 6’0 woman and a 5’9 woman weigh the same?
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