What is the value of an 1878 Statue of Liberty coin?

Before an estimated value for any coin can be given it is necessary to know the denomination of the coin as well as the date.

MoreIf you're using the term "Statue of Liberty coin" because the portrait on the coin looks like that of the Statue itself your coin is a US silver dollar, just like it says on the back of the coin ("ONE DOLLAR"). In that case please see the Related Question for details.

Edit: Check that coin again. The Statue of Liberty wasn't even built until 1886.