Does location matter? From geospatial data to a global average temperature

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Location of global temperature sensors.

Consider you have only one thermometer. What is the global average?

Now add another thermometer until every acre on Earth has its own.

How does your calculated global average change as you add thermometers? Does location matter?

https://www.ecmwf.int/en/forecasts/charts/monitoring/dcover?facets=undefined&time=2020061712,0,2020061712&obs=Temp&Flag=all