In all media there is a penchant for sensationalism and exaggeration so that the viewers would feel more prone to prefer one network over another.
In the case of crime reporting, while the media tries its best to maintain a level of objectivity, we can certainly see that we have become desensitized precisely because of the way that crime and morbid activity is reported so matter-of-fact.
You could argue that media distorts reality by making crime look like an everyday thing, but at the same time, it is indeed an everyday thing and it would be very detrimental to add our own subjectivity to it.
In other words, it is not so much that it reports it in a distorted way, but that it infiltrates the information a bit too passively.
Plus, I do not agree that, right after they show a murder, they jump in to the weather. I mean, that's a bit disrespectful in my opinion.
First of all, there's no such thing as a true reflection of reality, especially when it comes to crime. Different people can perceive the reality of crime (how much is there, how dangerous is it) in very different ways even before the media affects their judgement.
However, the media is likely to distort crime reports in a couple of ways. They are likely to make it seem like there is more crime than there really is because they report crime more than other things. They will also make it seem as if the most sensational types of crime are more prevalent than they really are.