From Longman Dictionary of Contemporary Englishlevel-headedˌlevel-ˈheaded adjective SENSIBLEcalm and sensible in making judgments or decisions OPP hot-headed
Examples from the Corpus
level-headed• When he had gone she faced things all over again, glad to have the advice of some one so level-headed.• A good pilot needs to be calm and level-headed.• He was said to be level-headed and unlikely to be affected by a few fancy words.• He had a level-headed approach to financial matters.• This last section is the most level-headed assessment of the topic that I have read.• Did this and similar comments represent a lack of faith in his abilities or a level-headed assessment of them?• A few weeks later we returned, this time with a third friend, a very level-headed girl.• Hopefully, some of the more level-headed members of the council can prevail and make the Boom Town fiasco a bust.• Britain is in an economic mess and we need level-headed, responsible leaders to pull us out of it.• a level-headed solution• The Colonel's cool compassion showed his command of the situation: no moment of fury distorted his fearless and level-headed view. 