Lead footing it? It's easy and fun but has a cost which I'm quite happy to pay!
Try zeroing the mpg and take a thirty mile cruise at constant speed on the interstate. Should jump the average up and ease your mind. You do need more miles to get a real feel for the true mpgs.
Sit back and enjoy
It isn't broken yet but I can fix that!
2013 550i Titanium Silver Metallic Dinan S3 , BMW F800ST, ML350