Or are there no drawbacks to being too tall?
For discussion purposes:
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the average US white male is 5'10" (age 20-29, non-hispanic white)
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the average US white female is 5'5" (age 20-29, non-hispanic white)
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the average European male is 5'10.7" (age 20-30)
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the average European female is 5'5.5" (age 20-30)
there doesn't seem to be anything here