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Jonathan_Graehl comments on Fight Zero-Sum Bias - Less Wrong
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You seem to be describing a median average. If 1 man has 100000, while 999 men have 0, then the (mean) average is 100 per man. But for every man that has more than that average, there are 999 who had fewer.
If someone says average without specifying, I take them to mean "mean average".
Jonathan, you are discribing a situation that never happened. The gender ratio is about 1:1. The average number of children is 2 because a different number than 2 results in numbers of humans we know did not happen.
If one man had 100,000, then 49,999 men would have to have zero to make the averate equal to 2.
Thus "if".