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My one scale is too small,the other too big,would you cut me some slack here and give me a clue?
Sure.
On your left, at the side of this page, are links to so much concentrated numismatic data that half of the threads in this forum would never happen if folks with a question looked there first. Had you used that resource, you would know that the appropriate weight for a Kennedy is 11.3g and your scale wasn't giving relevant results.
Weight isn't relevant for a plated coin like this anyway. The additional weight of the plating isn't greater than production or wear tolerances. Relevant to your interests as a collector would be whether the coin circulated prior to the plating, as a Mint State coin was probably a commercial effort and if it was circulated when plated, probably a school electrolysis project.
Kennedys were very popular as a subject due to their status as the largest US coin in mintage. And even if the plating is 24k, the actual weight of it is so vanishingly small as to measure value in cents. Quite viable, commercially.