Women put common good before self aggrandizement. There is no better, there are differences. We are all different. Categorizing is detrimental..
There is at least some general truth in that, yes, at least insofar as they are, more often, more likely to be more like that than men. But there's plenty of overlap. Many men are more nurturing and less selfish than many women.
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That one's for height. My guess is that many characteristics might be represented similarly.
Anyone who looks at those distributions and concludes "men and women are the same" must have been taking Home Economics instead of Statistics.