Is there good research on the different in strength? I remember reading Swedish statistics that women are about twice as likely to be regular exercising than men, which I would assume has a large impact on strength.
"Mean maximal hand-grip strength showed the expected clear difference between men (541 N) and women (329 N). Less expected was the gender related distribution of hand-grip strength: 90% of females produced less force than 95% of males. Though female athletes were significantly stronger (444 N) than their untrained female counterparts, this value corresponded to only the 25th percentile of the male subjects."
A popular website for calculating strength standards is:
http://www.strengthstandards.co/
This site is intended for people serious about strength training. Somebody who does "regular exercise" without specifically focusing on strength is unlikely to be stronger than the "Novice" level.
According to Wikipedia, the average US male weighs 88.3kg and the average US female weighs 74.7kg.
The big three (squat/bench/deadlift) 1RM total for an average untrained male is 186kg. For an average novice female, 175kg. This suggests that ordinary exercise is not sufficient to make up for the difference in body size and testosterone levels, and only those rare few females who are serious about strength training will be stronger than the average male.
