Raymond W. Arritt wrote:
> [email protected] wrote:
> 
>> I am not sure why the impact of the averaging procedure would per se
>> be negligible. I've put +50C and -50C into a spreadsheet and come to
>> an average of 12.87C. Now, I suppose that the world consists of one
>> half at -50C and one half at +50C and use goal seek to work out how
>> much the "equator" half has to drop to compensate a 3C increase in the
>> "polar" half, and that comes to a 1C drop, ie -47C and +49C also
>> average to 12.87C, yet a simple arithmetic average would give a rise
>> of 1C.
> 
> Can you explain this in a little more detail?   What methodology did you
> use that produced an average of 12.87 C from temperatures of +50 and -50?

It's the 4th root of the average of the 4th powers (with all calcs done 
in Kelvin). You could think of it as the effective radiating temperature 
of a body where half of the surface is at +50C and half at -50C. But 
that doesn't explain why anyone should care!

James

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