Estimated grade. Sold by B. Max Mehl Jun '41 price realized $10.5
The 1800 Dime started out as a scarce coin just because of its small mintage of less than 22,000 coins. Regardless of the overall survival rate, Mint State examples have proven to be particularly elusive, especially in comparison with the 1805 and 1807 Dimes. Based on population figures alone, the 1800 is at least ten times more rare than the 1805 (and even rarer than the 1807), yet it often sells for only two or three times as much.
Two die varieties comprise the entire mintage for this date. JR-1 is slightly more common than the JR-2, which only means that the mintages are close (probably 10,000 for the JR-1 and 11,760 for the JR-2).
As already mentioned, Mint State examples are scarce and desirable. The finest is a PCGS MS66 from the Eugene Gardner collection -- Heritage sold it in June 2014 for $352,500.
Stack's 10/1997:444 - Eugene H. Gardner Collection - Heritage 6/2014:30231, $352,500
J.J. Gambert Collection - New Netherlands 6/1954:831 - Norweb Collection - Bowers & Merena 10/1987:397, $18,700 - D. Brent Pogue Collection - Stack’s/Bowers & Sotheby’s 5/2015:1041, $141,000