Android 5.1 tablet, battery drain

I have a new Android 5.1 tablet which is mostly clean, not many apps installed. It is not rooted and I don't want to root it too. I have installed BetterBatteryStats but it is very limited because of no root access. It shows always the following when I create a custom log point, turn it off and wait a few minutes, like:

Deep Sleep 50% (2m4s)
Awake (screen off) 50% (2m)

It is always 50:50 of those two. Is there a way to find out what causes Awake (screen off) drain?

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