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Part of the problem in looking at the gender wage gap is difference in hours worked. The BLS lumps all workers together as full-time if they work 35-40 hours per week. Problem is, a lot of women work less than men, and just about double the number of men put in overtime. For part 3: savvyroo.com/chart-1210475117…
It's notable that the full-timers working over 40 hours per week is self-reported and doesn't account for "surfing" at work. It would be interesting to see this from various perspectives: supervisors, co-workers. A breakdown by industry would be interesting too.
As a manager I have always valued output over time. But that doesn't change the fact that sometimes quantity is valuable and a harder worker (male or female) will be more valued.