This quote was made by Winston Churchill, an orator who knew the courage it took to speak and also to listen.
The quote "COURAGE is what it takes to stand up and speak and what it takes to sit down and listen" basically means it takes courage to do the right thing (decide when to stand up and speak and when to sit down and listen).
Courage does not always mean standing up and speaking, sometimes it entails sitting down, questioning your own opinions and beliefs and listening to other people speak.
It depends on the situation but I think girls because their hormones and emotions are more likely to take control than men not saying their always violent but they do tend to get quickly upset
