Even if the measurements from the middle of Montana is correct, I could imagine there are different ways to extrapolate to average global temperature from just a few points of measurements. In the end, it will just be another estimate.
That reminds me of a thought experiment. Suppose you want to accurately measure the average temperature of a company cafeteria. How many thermometers do you need and where do you place them? Do you keep them in fixed locations or move them?
That thought experiment is readily adapted to other spaces, such as a high school gymnasium or the state of Iowa.
