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So here is an error analysis question for you all:

I am measuring the temperature of an object at three positions simultaneously. They are type K thermocouples so their individual error is 0.75% of their reading.

However, I can also take long term data which shows that their individual temperatures wander much less than that.

The question is, how do I combine the instrument error with the statistical error to get the actual temperature and error on that temperature of the object?

I am hoping since there are three thermocouples, I can leverage them off of each other to get a more accurate and precise value. I am going to check the Squires book soon but I am unsure of what this process would be called to start the lookup process.

This page looks promising, I think it is similar to what I want except that I would just extend the calculation to three measurements from two, would you agree?

http://isi.ssl.berkeley.edu/~tatebe/whitepapers/Combining Errors.pdf

Thanks a ton!

Paul