@Silas
I can't really directly link to such stats as most public documents on such things are in Norwegian, but general numbers still favor the male population. On average the monthly paycheck for women was approximately 86,5% of the average monthly paycheck for men in 2012 and the pay increase was about 3% for women and 3,5% for men. In the private sector things are turning the other way with women's paychecks growing at about 4% over the 3,2% of men.
The SSB (Statistic Central Bureau) also gives some numbers on... hrr, what would be the English/American equivalent? Small region government, bigger than a city but smaller than a full region/state, whatever. Let's call it county because I think that might be it. The female representatives in a County... council/government was about 38,2% in 2013. The amount of women with higher education was about 31,6% up from 30,7% the year before, and men had about 26% with higher education compared to 25,6% the year before.
82,9% of men between ages 20 and 66 were fully employed in 2013 and 76,8% of women between ages 20 and 66 were the same. The women and men in part-time employment were 34,5% and 13,7% of the population, respectively.
In the public sector, women composed over 70% of the employees while in the private sector they composed approximately 36,5%. This statistic is somewhat telling on the matter of payment differences, as the public sector generally pays less than the private sector, while providing a more stable and reliable career path.
With divorced/separated couples, the children tend to live with their mother in 86% of the cases, although the amount of men gaining custody seems to rise by about 0.2% each year. When the couple are generally of higher education, you'll see a higher amount of shared custody.
The actual numbers on the amount of stay-at-home fathers is hidden behind a paywall but they say it's risen significantly the last ten years or so. I can't find actual numbers at the moment.
Somewhat of an oddity, but it turns out the northern parts of Norway (the more rural areas as it were) scores far higher on equality issues than southern Norway. I can't find any speculations on why that is, but it actually surprised me a bit as the backwaters tend to be a bit more backwards than central areas. Hm.
I can't find a more recent number than 2012, but the percentage of our Storting (I suppose it's like your Senate) was 39,8% and it has steadily been moving closer to actual equal numbers every year that has passed.
My sources have largely been
https://www.stortinget.no/ and
www.ssb.no aaaaaand I just noticed there's English versions of these sites too. I could have just copypasted, bloody hell. Well, you can check the numbers for yourself if you wish, as it seems most of the articles are translated to English.