The 1881 Morgan dollar is not scarce or rare, assuming it's circulated and has no mintmark, average retail values are $30.00 to $39.00 depending on how much wear the coin has.
Because of the fact you included the motto E-PLURIBUS-UNUM (it appears on the front of the coin above Miss Liberty's head) in the question, the coin is a MORGAN dollar. Please note that the Latin phrase E-PLURIBUS-UNUM is a national motto. It appears on all Morgan dollars and most other U.S. coins issued in the 1800's.
The 1881 Morgan dollars regardless of any mintmarks, are a very common date. Circulated coins run from $30.00-$40.00. Mint State are $48.00-$55.00 for most coins.
The 1881-S Morgan is very common, circulated coins are $17.00-$26.00.
The 1881-O (New Orleans) Morgan is common, retail values are $17.00-$26.00 for circulated examples.
Assuming the coin is circulated, the 1881-S Morgan dollar is a common, value is $32.00-$38.00 depending on grade.
1881 is a common date Morgan dollar, retail values for circulated examples are $17.00-$26.00 depending on grade
The 1881-O Morgan Dollar is common, average retail value is $25.00-$35.00 for a example in circulated condition
The 1881-S Morgan is very common, circulated coins are $17.00-$26.00.
The 1881-O (New Orleans) Morgan is common, retail values are $17.00-$26.00 for circulated examples.
Assuming the coin is circulated, the 1881-S Morgan dollar is a common, value is $32.00-$38.00 depending on grade.
1881 is a common date Morgan dollar, retail values for circulated examples are $17.00-$26.00 depending on grade
1881 is a common date Morgan dollar, retail values for circulated examples are $17.00-$26.00 depending on grade.
Assuming the coin is certified by one of the top 3 grading company's. The 1881 Morgan dollar in MS-65 has a current market value between $550.00 & $675.00.
The 1881-O Morgan Dollar is common, average retail value is $25.00-$35.00 for a example in circulated condition
August 25, 2017. $480 to $485.
1881 is a common date for Morgan dollars, circulated coins are valued at $17.00-$26.00
There were 12,760,000 1881-S Morgan dollars minted.
You can go to Google images (images.Google.com) and search for: 1881 Morgan
The retail values for circulated coins are only $16.00-$22.00 and uncirculated coins are in the $23.00-$32.00 range. The 1881-S is the most available 19th century Morgan dollar in Mint State grades