yup, unfortunately that's about what mine has looked like for 8 months now . . definitely not a battery champ, although my other phone is a Z2play and regularly get 8-10 hours screen on time, so I have high expectations
I've tried greenify and a bunch of other things suggested in these forums, in some cases I have seen better battery life, but to me if I have to jump through a bunch of hoops and turn off this and that, then it's not worth it to me.
In my use case, if I'm using the phone steadily I get better screen on time, if I use it sparingly the battery just sucks in stand by mode . . highest usage in my stats is always "phone idle", and I don't think there's much you/I/we can do about that.
To answer your question though, what I'm trying to say is that in my experience that's just the way this battery is, but if you want to try a replacement maybe you'll luck out, but I wouldn't expect too much more than what you're seeing. I'm sure someone will come on here after me and start screaming about all the things they've done to get awesome battery life, and if you want to try it that's fine, but to me there's always outliers and chasing those can be a pretty unsatisfying venture.