> why you should expect anyone at Google (or, well, any sub-group with a filter process) would be meaningfully predictable by or representative of their biology's bimodal distribution, in the first place?
I don't think you would; however you might find you end up with a ratio of both groups that is not 50/50 but rather proportional to the ratio between the areas of both curves that lie above some cutoff.
For a maybe less controversial take, as of 2021 there are far more women than men who do, say, embroidery as a hobby. In that sense "population by hours spent embroidering per year for fun" is two overlapping histograms that skew differently by gender. Big peaks for both groups at zero. However, once we filter our discussion to "people who do embroidery as a hobby", cutting off the majority of both populations (but the supermajority of men), we can't assume that the same pattern holds. The trend might even flip; the average man-who-does-embroidery might do it much more than the average woman-who-does-embroidery, just because they've been so strongly selected for; less committed men never would have picked up that hobby at all.
But we can be pretty sure that the population of men who spend even an hour a year embroidering is much smaller than the population of women who do the same, without making any assumptions that those men who do embroidery have any lesser skill, interest, or dedication.
I don't think you would; however you might find you end up with a ratio of both groups that is not 50/50 but rather proportional to the ratio between the areas of both curves that lie above some cutoff.
For a maybe less controversial take, as of 2021 there are far more women than men who do, say, embroidery as a hobby. In that sense "population by hours spent embroidering per year for fun" is two overlapping histograms that skew differently by gender. Big peaks for both groups at zero. However, once we filter our discussion to "people who do embroidery as a hobby", cutting off the majority of both populations (but the supermajority of men), we can't assume that the same pattern holds. The trend might even flip; the average man-who-does-embroidery might do it much more than the average woman-who-does-embroidery, just because they've been so strongly selected for; less committed men never would have picked up that hobby at all.
But we can be pretty sure that the population of men who spend even an hour a year embroidering is much smaller than the population of women who do the same, without making any assumptions that those men who do embroidery have any lesser skill, interest, or dedication.