Yes you should stay away from someone who has MRSA if possible.
If you do not need to be around someone who has MRSA it's best to avoid them and avoid coming into contact with them.
If however you need to be around the person who has MRSA you should also wear gloves if you need to touch the person or their clothing or bedding.
You can contract MRSA through skin to skin contact with the person so do not touch the person without gloves.
If there's no need to actually be near the person or around the person with the MRSA then it's best to avoid them.
Also if someone has MRSA you should avoid sharing personal items such as uniforms and personal protective equipment and avoid touching any wounds or bandages.
MRSA which is also known as Methicillin-resistant Staphylococcus aureus is a bacterium that causes infections in different parts of the body.
MRSA is tougher to treat than most strains of staphylococcus aureus -- or staph -- because it's resistant to some commonly used antibiotics.