It's rare in the sense that it's NOT produced by the US Mint, but rather by a private company or individual.
5 cents, it isn't a rare coin
a 1920 buffalo nickel is worth about 2.50 because it's not that rare
1927 is not a rare date. This coin is commonly called either a buffalo nickel or an Indian head nickel. Please see the question "What is the value of a 1927 US nickel?" for more information.
Great - you have a rare Copper-Nickel 3 Cent piece - a 1881 coin in fine condition is worth: $30.00.
Regardless of the DATE. The US has never made a Five Cent gold coin. It has been gold plated and has no collectible value.
In the US, a nickel is worth 5 cents.
The diameter of a US nickel is 0.835 inches.
1902 is not a rare date for US Liberty Head nickels, retail values for average circulated coins run from $1.00-$5.00. Mint State can be $30.00 or more.
If it is a US nickel, it is 25% nickel, 75% copper. If it is a Canadian nickel I believe it is 100% nickel.
1872 is not a rare date for this coin, circulated coins have retail values of $20.00-$90.00 depending on the actual grade.
A US nickel has a diameter of 21.21mm and a thickness of 1.95mm
Please don't assume that because a coin is old it has to be made of silver. It's made of copper-nickel like all other nickels except the WWII ones with a large mint mark above the dome of Monticello. 1941 is not a rare date for Jefferson nickels. There's more information at the question "What is the value of a 1941 US nickel?".