In the article “The World’s Longest Continued Series of Sea Level Observations”, the mean annual level of land uplift in Stockholm, Sweden, was estimated to be 4.93 ± 0.23 mm for the years 1774–1884 and to be 3.92 ± 0.19 mm for the years 1885–1984. Estimate the difference in the mean annual uplift between these two time periods, and find the uncertainty in the estimate.
What will be an ideal response?
Let X represent the estimated mean annual level of land uplift for the years 1774—1884, and let Y represent the estimated mean annual level of land uplift for the years 1885-1984. Then X = 4.93, Y = 3.92, 
= 0.23. and 
= 0.19. The difference is X – Y = 1.01 mm.
The uncertainty is 
= 0.30mm.
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