On StackOverFlow, the users who do not put anything in the profile have this displayed.

"Apparently, this user prefers to keep an air of mystery about them.".

Should it not be him/her?

Clarifying before hand that English is not my strong point.

  • Welcome to the ELU :-). You can find this post about singular they helpful in answering your question. – Lucky May 1 '15 at 6:49

Yes, it's correct. English literature is full of examples of them used as a gender-neutral pronoun, even when referring to one person. It's also a great way to refer to someone when you don't know their gender, or when you don't want to favour one or the other, e.g.:

"When our next customer walks in, please greet them."

  • 1
    Or when you don't want your parents to know their gender! "I'm going camping with a friend. I'm meeting them at Windermere". – David Pugh May 1 '15 at 8:12

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