My host came with a mongodb instance and there is no /db directory so now I am wondering what I can do to find out where the data is actually being stored.
When you start it up it shows you. But I don't know if it is something you can do or not on your host. If you have access to the command line and can restart the service, you will get something like:
2016-11-15T12:57:09.182-0500 I CONTROL [initandlisten]
MongoDB starting : pid=16448 port=27017 dbpath=C:\data\db\