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George Washington Carver in 1872.
Prices range from $8 in Very Fine to $20 in Almost Uncirculated condition. These are normally known as Washington-Carver halves rather than Carver-Washington.
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As of late 2008, these appeared to be going for around $10.50 on the open market.
In the grade of F-12 current average value is $8.00 regardless of mintmark.
They are common, a uncirculated coin with no mintmark is $25.00 with an "S" $21.00 and with a "D" $28.00
The value of a 1946 Booker T. Washington half dollar can vary depending on its condition and rarity. In circulated condition, it may be worth around $10-$20. However, if it is in uncirculated condition or has any special characteristics, its value could be higher. It is important to have it appraised by a professional to determine its exact value.
There's no such coin. If you have a Franklin half with a liberty bell on the back it's worth about $6-7 for its silver content. If you have a Washington Carver commemorative half dollar it's worth $8-12.
The only thing made by the U.S. Mint in 1952 George Washington on it is the quarter. You may have been thinking of the Booker T. Washington / George W. Carver Commemorative Half Dollar, but that's not George Washington on the front, and there's no Liberty on the reverse. So I have to believe you have something that was not made at the U.S. Mint. Please provide more information in this question's discussion area, providing as detailed a description of what's on each side as you can.
Respect
Booker man was on the postage stamp because he was the founder of the first president of Tuskegee collage
Dates and mintmarks are needed, post new question.