Who Owned Palestine?

One of the prime debates in the Israeli-Palestinian conflict is over land rights and land ownership. It is important to note where land ownership in Palestine one the eve of 1948. Here is a map from 1946 reflecting land ownership in Palestine, prepared by the British Mandate for the UN. It was subsequently published in the United Nations as an official document. 

Soooooooo, whose land was it to give away exactly? The Palestinians owned the majority of the land in every single province except Beersheva. And even in Beersheva, Palestinians owned 15x more land than the Jews (the rest being "state" land).  So, whose land was it exactly?

In reality, the Zionist propaganda phrase "land without a people for a people without a land" should be "land with an owner and occupant for a people without a land".