Make sure your scale is calibrated correctly. The tolerance for zinc cents is .1 gram , meaning your coin on a calibrated scale is only slightly over tolerance, the max is 2.60 grams. Being only slightly over tolerance means the planchet was a bit thicker at roll out. There is no added value for it as it is a very common occurrence.
The way you stated it was confusing. You should of said 1983 Cents weigh 2.5 grams and that the Cent in question is within tolerance.
We are all on the same page now. What’s important to remember is why you should weigh every 1983 cent: quite a few copper planchets remained in the blanks hoppers and were struck in 1983, making them extremely valuable…like $75K-100K valuable. Both P and D mints. So far around 5 P and 15 D have been discovered. At 2.65 grams, this one is not copper. (Thank You, Captain Obvious). (Cited from: https://www.cointalk.com/threads/1983-cent-weighs-2-65g-keeper.393661/#post-8234469)
It only costs you one cent to hold. Maybe you find another that is significantly higher. Then keep that one.
Hi. That weight is within tolerance so it is normal. You need to provide pictures to show what you are telling us. I suggest you start your own separate thread with pictures. Welcome to CoinTalk