First off, the writer of the article most be missing the $800 in spending money for gas/food. The monthly expenses are things you get bills for once a month, you pay for gas and food as you need it and when you get it.
Secondly, that budget is wacky.
I'm insuring two cars with comprehensive coverage (but not collision) for $220 every 6 months. That's $36/month. If you are renting, while you could get renter's insurance, if you are at a minimum wage job, you probably don't have a huge amount to insure in the first place. And even if you want the insurance, renter's insurance is pretty cheap, as in a hundred or two a year.
Health insurance is just an odd number there. What would be $20/month? Does McDonalds offer a plan that cheap? Because in the open market, you probably won't see much below $50/month, and that's if you are young, healthy and can handle a huge deductible (which, if you are working for minimum wage, you can't)
And why are you spending $100/month of cable/phone? Your phone should be at most $30/month (see Virgin Mobile, Page Plus, Tmobile prepaid, etc etc), and can be significantly cheaper (as in <$100/year if you don't need data much). And just use an antenna and ditch cable TV. Though they didn't include internet, so that's another $25-$40/month (I guess that might be under "other).