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It's going to depend highly on network conditions in your area
In my area, I ran the exact same test with my Maxx and got speeds 10-15 mbps faster down and 5-10 faster up depending on the time of day.

today, i will get the note 4. I will do an internet speed test with it, my maxx and the nexus 6 all from the same location and all at the same time of the day. I will take screen shots and post them here for comparisons sake. My wife also has an iphone 5s. I will do the same test with it. This should give a pretty good indicator of internet down and upload speeds.
At home: Ping..77ms Down..12.14mpbs Up...2.41mpbs
I have work tomorrow and I'll check it over that side of the city.
Yes Rxpert, you're right. I guess I would qualify my question as to compare it to say, an S4 in the same environment. Or even an AT&T version. I know they are supposed to all be the same, but i can't help thinking that the N6 that I am getting will not have the same Verizon data speeds as my S4.