I don't think so but they do have decidedly different motivations they give for taking lessons. From my perspective of teaching skiing for almost 30 years women are more likely to take lessons to improve and enjoy the sport more. They are definitely more safety aware compared to men in their skiing. Mom's are the driving force to put their kids into ski school as well.
Repeated motivations I hear for adult women to take lessons is to feel more in control and safe while skiing and to get better so they can enjoy their time more skiing with their families.
Adult Men's motivations will be more related to being less fatigued at the end of the day so they can ski more or particular technical challenges like skiing bumps, carving, steeps, trees better.
20's something's of both genders will say they want to be able to keep up with their better skiing friends as the main motivation for learning to get better.
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