The Quinnipiac University Polling Institute did a national survey in April, which in-part assessed trust in the media as a whole, versus trust in Trump.
They summarized their findings as follows:
American voters disapprove 58 - 37 percent of the way the news media covers Trump. Voters disapprove 65 - 31 percent of the way Trump talks about the media. And voters trust the media more than Trump 57 - 31 percent to tell the truth about important issues.
Check the link for raw numbers, where you can also compare responses by party versus independents.
The Morning Consult also conducted a poll last December, which has stats on how individual outlets of the media compare.
Despite the proliferation of coverage of fake news and historically low opinion of the media, a majority of adults think most cable news networks and major newspapers are credible, according to a Morning Consult poll.
Television news gets the highest number of people saying they are credible, with major newspapers such as The New York Times not trailing far behind. ABC led all outlets with 67 percent of people saying it is credible, and CNN was top among cable news networks with 60 percent. Sixty-five percent said both CBS and NBC are credible and 55 percent said the same about the more partisan MSNBC and Fox News channels.