How to estimate distance interval from measurements?

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I want to measure distance with GPS. However, the GPS is not very precise.

I will do my measurements for repetitions X number of foot lengths. I wonder if I can make better estimations of my position by using the knowledge of taking same lengths between the measurements.

Suggestion 1: $$(d_n - d_0)/n = d_{est}$$ Suggestion 2: $$((d_1 - d_0) + (d_2 - d_1) + .. + (d_n - d_{n-1}) )/n = d_{est}$$

Is this a good idea at all? If so, which one of these methods would be the best? Is there any other suggestions that could be better?

Best regards