There is a description in science daily on gender differences in running for office: In "Young Women Do Not Want to Run for Office, Experts Say". they write:
"Lawless and Fox detail the results of a survey of a national sample of more than 2,100 college students. The authors find a dramatic gap between women and men's interest in running for office; men were twice as likely as women to have thought about running for office "many times," whereas women were 20 percentage points more likely than men never to have considered it. Importantly, the 20 point gap is just as large as the one we previously uncovered among adult professionals (in their 40s and 50s) who were well-situated to pursue a candidacy."
"The report identifies five factors that contribute to the gender gap in political ambition among college students:"
The last 3 are:
"3. Young men are more likely than young women to have played organized sports and care about winning.
4. Young women are less likely than young men to receive encouragement to run for office -- from anyone.
5. Young women are less likely than young men to think they will be qualified to run for office, even in the not-so-near future."
Jennifer L. Lawless and Richard L. Fox report on "Girls Just Wanna Not Run The Gender Gap in Young Americans’ Political Ambition"