Flooring Tile - Cheap marble, uneven concrete subfloor question

Concrete subfloor in bathroom. I found a deal on 12" marble for $1.79. Laid out marble to get an idea of how it would look. I stepped on one marble tile and it cracked in half. The concrete underneath this tile has a small high spot. A tile on top will rock back and forth.

what should I do?
Patch with Quikrete Vinyl Concrete Patcher?
Put down backer board?
Put down Ditra?

Thanks

Grind it down, or dam the perimeter of the roomto make an expansion joint, prime with self leveling cement primer and pour self leveling cement over the floor to raise it up. Stone is more fragile than ceramic when unsupported which is why it broke. Set with thinset ( and stone needs 100% coverage, ceramic is 85-90% coverage) it would have been fine. How bad is the hump?

it's a very small hump. Not very noticeable. I just happen to set the marble tile directly on top of hump and then stepped on each side so it broke. I set another tile directly on the hump and it wobbles about 1/16" on each side of the hump.

Should I try laying down with thinset and hope it provides enough support?

Or if I should grind, any suggestions on what I should use?
The hump is only about 14" long. The rest of the floor is flat. No wobbles when I tested laying down tiles.

1/16 is not a hump. Thinset and forget it. Heck, backer tape is thicker than that. No shrinkage cracks in the slab or control joints cut into it, right?