The assumptions made to predict the mass of all liquid water on Earth are:

* The Earth is a closed system, meaning that no water is added to or removed from the planet.
* The Earth's atmosphere is in equilibrium, meaning that the amount of water vapor in the air is constant.
* The distribution of water on Earth is uniform, meaning that the same amount of water is found in each of the Earth's major reservoirs (e.g., oceans, glaciers, groundwater, etc.).

The data used to calculate the mass of all liquid water on Earth was collected from a variety of sources, including:

* The United States Geological Survey (USGS)
* The National Oceanic and Atmospheric Administration (NOAA)
* The World Meteorological Organization (WMO)

The USGS provides data on the distribution of water on Earth, including the amount of water in the oceans, glaciers, groundwater, etc. NOAA provides data on the amount of water vapor in the atmosphere. The WMO provides data on the global water cycle.

It is important to note that these are just estimates, and the actual mass of all liquid water on Earth may be slightly different.
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