The 1905 Barber dime (not Liberty) is a common date of the series. Assuming it's circulated and has no mintmarks, retail values for coins in average circulated condition are $3.00-$7.00. Better grade coins are $15.00-$60.00 depending on actual grade.
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The figure is not of any person, but represents Liberty. They are called Barber dimes after the designer of the coin, Charles Barber.
It isn't a liberty dime, it is a Roosevelt dime, it isn't silver and only worth 10 cents.
The Liberty dime minted in 1943 was 90% silver. The current rate for a circulated 1943 Liberty Dime is the current value of the silver of the coin, presently $5.50
1905 is a common date Barber dime. Average condition coins are $3.00-$5.00.
You can find a picture of a 1936 liberty dime at the related link below.