0-3 °C/34-39 °F right at the ocean floor is a fairly constant temperature at the ocean floor; barring any volcanic vents etc.
The closer to the surface you get, water interacts with currents and flows in the water and with the atmosphere, where it can gain or lose energy and heat.
There is a cold, North Atlantic current, a return current from the interaction of the Gulf Steam and Artic Waters, traveling S/SW that passes almost exactly the same area where the Titanic sank. Because it’s cold water, it’s more dense and runs deeper.
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