The thing about statistics is that the avid statistician can make the same data set say completely contradictory things depending on the method of analysis used. One could do a deep dive and get into the nitty gritty of what is really behind the for-or-against arguments on the data for the wage gap, but I don't have the time or energy, and most of you wouldn't understand anyway (this isn't meant to be derogatory, just factual). How you cut, sort, and qualify any large data set matters exactly as much as whatever data is in the set.
That said, the statistics quoted aren't the point here. You want to say that, statistically, there isn't a M-F wage gap? Fine. One failing of statistics is that they often use a wide brush to paint over fine lines. Much of the problem is field-specific, and as Day said off-hand, not really suited to incorporate the disparity in the number of male vs. female sewer contractors, for example. The choice of which field you enter, whether for reasons of financial need, societal circumstance, or other, is certainly one consideration and it is true that there is a (lessening) disparity between the M-F population and hard labor jobs.
The fundamental issue being argued by proponents of the existence of the wage gap is that the gap exists between equally qualified employees, and employees of the same rank within the same institution, being disparaged because of gender, race, religion, and various other factors, in a way that skirts the legal definitions. Corporate regulations that prevent discussion of salary between employees at the risk of being fired was (is?) historically a good example of how this discrimination is maintained.
To pretend that this issue can be boiled down to shitty, pandering news articles written for an audience with no appetite for a true understanding (on both sides, don't misunderstand me here) is totally disingenuous and laughable. Statistics are an incredibly powerful tool that can be wielded largely with impunity. After all, how many are really going to be able to challenge the results on a fundamental level, and how many are really interested in reading the academic debates that follow when they've already digested the initial headline that conforms to their bias.
tl;dr don't be shitty on extremely complex issues guiz
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