The video is probably pointless if I cannot read the presentation slides that are helpful (27:00, 24:00). The second presentation doesn't seem to have a ton of statistics to jump out.
Just jumping around the video, I would assume any statistics presented at 20:00 (PhD) or 24:00 (top 1% 7th grader math performance) are irrelevant. Those are horribly representative of any wide-spread applicability to enrollment in universities. Various data shows there probably is gender biases at the far ends of the scale, but that's irrelevant to getting people to do some basic differential equations and mathematical/scientific skills that are needed to complete an undergraduate engineering degree.
The patriarchy absolutely is a very real fact for hard sciences and engineering in some countries throughout the world, particularly dominant in the middle eastern countries.
My 10 minutes of research shows that enrollment in Technical University berlin (TU berlin; 30,000 students) is overall is 67% male and 33% female, which would be a little bit better than US universities for m/f ratios (usually no higher than 25% female in hard sciences), but I did not find a quick detailed breakdown.
In that 10 minutes of research, I decided to google the netherlands and the university of amsterdam and their statistics seem a little different than what I know of the US but fairly consistent overall (I looked at Female ratio for: chemistry: 30-40% range; comp sci <10%; physics and astronomy 12-20%)
I googled University of waterloo (canada) too and that seems similar to US rates of mostly 5-20% or so for the "spring 2014 ENG" degrees awarded (engineering degrees).
my base US statistics is for a heavily male-dominated (but very large engineering university) Georgia tech. It has full breakdown every
year, which in total the engineering is 27% female but that gets inflated by biology and industrial engineering. Industrial engineering does not require differential equations. I think most other engineerings run in the 10-20% female range.
I believe most US hard science or engineering majors at universities range in the 10-20% female, with biochem and biology being outliers (bio has >50% women, chemistry is fairly broad as it might refer to inorganic chemistry, organic chemistry (more bio focused), even "biochem" majors, etc, and range in demographics)
But, whenever this stuff comes up in US debates about engineering, I have never seen statistics of other reasonable industrialized countries. Although it is still male dominated, if the US is running at 10-20% and other countries are 20-30%, then obviously the gender factor does not account for the differences. It would be indicative of the US education system or culture sucking to produce female engineers.
If at the end of the day it'd split like 40-60 female to male due to biology, well, who knows. But people present garbage statistics about nobel prize winners or the top 10% of academia which literally has no bearing on any systemic educational and career patterns.
(2nd time I used that smiley today, it should get more use! 
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