There is no more precise way: the most accurate way to check the freshness of chicken eggs

Inspect the shell: Make sure the shell is clean and uncracked. Cracks can let in bacteria, raising the risk of contamination.
Use your nose if needed: If you’re unsure after the water test, crack the egg into a separate bowl. A bad egg will have a strong, unpleasant smell—if it does, toss it immediately.
Store eggs properly: Keep them in the fridge, ideally on a middle shelf where the temperature stays steady—not in the door.
Put older eggs to good use: While they might not be the best for things like fried eggs or omelets, slightly older eggs are still great in baked goods like cakes and muffins.