Highly likely that the reason the CORE plug is out is because the engine was full of water and froze. Which means, it's also highly likely the engine block is now cracked.
They are not freeze plugs, or frost plugs, they are CORE plugs. They are there so the sand used in the casting process (called a casting 'core') can be removed. The hole is then machined so a plug can be fitted. They are not there to allow water to expand out if it freezes, that is not how it works.
If the plug has been popped out by frozen water, start looking for a new block (and usually the exhaust manifolds are also damaged, by the same process)...
Chris.....