Is Bitcoin's value the same, country to country? If not, which valuation is correct? Does a bitcoin have the same value in every country? Is it not like real money that we use in real life? Does it have a different value in every country?
Things only have value if you can get stuff with it.  The value of a bitcoin is dependent on supply and demand and how much the BTC-currency exchanges are exchanging for, so it does not necessarily have the same value in a all countries.