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hi and welcome back to climate unboxed today i want to talk about how we make spatial averages of fields now if you look online youamp;#39;ll see lots of people have posted this kind of question and often youamp;#39;ll see an answer posted giving a piece of code based on calculating the arithmetic mean people suggest simply adding up the values in each of the cells one two three four five six all the way up to the n cells and then dividing by the number of cells in the file now the problem with that suggested solution is that in fact itamp;#39;s absolutely wrong and iamp;#39;ll explain the reason why now when we have a regular grid of regularly spaced latitude and longitude points itamp;#39;s easy to forget when we project that field onto a flat screen that in fact it is not a flat surface we are not living on a flat earth but in fact our projection from the globe when we actually look at the original layout of the grid points we can see that as we move towards the poles t
