I can possibly understand why the phone can be Awake without having the screen on (background stuff), but how can the screen be on without it being awake?
If relevant my device is the Nexus 4 running Android Jelly Bean 4.3.
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This part of your screenshot you can find explained (partly) in my answer to What is Cell standby and how can I keep it from eating my battery?. But more specifically to your question, here's what it is about: