Is my teenage brother suddenly growing at a fast rate for his age (only 13 and already at 5'8)?

He's only 13, his b-day was at the beginning of May. Now he's suddenly at 5'8, an inch taller than me.

It's been a long while since middle school but is this the average height of a boy his age? Or is he growing fast?
Is my teenage brother suddenly growing at a fast rate for his age (only 13 and already at 5'8)?
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