the general stereotypes are that females are feelers and that males are thinkers, because statistically it would be "usually close enough", both because for the majority (but in no way overwhelming majority) it would be true, and because - as a result - the gender expectations have followed that majority trends, so when it isn't true, people will still be enacting a sense of identity defined by those expectations, making the assessment close enough for casual acquaintance.
the latter element is more true for women, as the social pressure for men to "appear T" has being somewhat mitigated by the positive media treatment & romanticization of "the sensitive guy" leading to a higher acceptance of F-males, while the T-female identity hasn't been given such an opportunity, often still viewed as "ice queens" or even "bitches" by both males and other females.
the female-J/male-P element of the stereotype gets a little bit more muddy, but are note worthy for being appearance focused (while in RL most males & females are Js):
since most people (male or female) are sensors, the value of Se for the masculine role and Si for the feminine role has being repeated throughout history. in hunter gatherer society, where it would have being a necessity for women to be pregnant for a majority of their fertile lives to diffuse the high mortality rate, the roles which demanded the fastest reaction times were left for men, whether hunting or defense, while the roles that demanded a rich basis of experience, such as knowing when various fruits are ripe or what is poisonous or medicinal, were largely female. as people learned from their tribes directly, the work models where the roles children were exposed to.
the industrial revolution intensified this further: when men went into the workforce where they had clear hierarchies of external discipline, a women's workplace was more often than not the household itself, where while officially subservient, for the majority of the time she had to fulfill the role of being her own boss, encouraging a J behavior. this generated a larger miscommunication throughout generations, where children grow up seen their mothers at their workplace, while only seen their fathers while they were resting from their workplace, thus obtaining role models and expectations accordingly.
some believe that today we are merely struggling in shaking off the anthropological and recent cultural norms, but i'd call BS, in fact or our modern enlightened society is repeating the pattern more than before as increasingly more people grow up in single-mother households generated by increasing divorce rates (that have become practical due to women's capacity to be financially independent), growing up with a female role model that needs to be the complete boss for herself and her environment in order to maintain the minimal functionality, while the fathers they are exposed too in those situations, if they aren't absent, will often be on the lower-end of the custody through weekends and vacations, meaning that again we are raising (or have being raised as) a generation exposed to males while they are resting and females while they are maintaining.
these are the main factors, that combined with the fact most people are sensors, generate the STP male stereotype & SFJ female stereotype.
FYI - my mother is an ENFP & my father an INTJ, so there ya go
It would probably have been more accurate of me to say that not all "xSFJ" women have typed themselves. My impression is that a great many people are assuming that's what their moms are, based on their own expectations, or on their moms acting a certain way due to social expectations (most people in this forum are American and that probably has something to do with it too). [MENTION=4945]EJCC[/MENTION] also made a good point - just because your grandmother seemed traditional doesn't necessarily mean she was an SJ; most grandmothers are going to seem at least somewhat traditional.
