Is 96 pounds too skinny for a 5’2.5 woman?

No matter how much food I eat I stay 96 pounds +/- 2 pounds at any given time. Weirdly enough, sometimes when I eat more I end up losing more weight. I don’t get it. Is there any way to increase my weight with that in mind? Or am I fine being this weight?
Is 96 pounds too skinny for a 5’2.5 woman?
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