For a 16 year old female new driver the auto insurance will be expensive. Although there's no way to give an exact answer as to how much the auto insurance for a 16 year old female driver will be you can expect to pay at least $200.00 per month for auto insurance coverage.
If you get added to your parents auto insurance policy the cost can be much cheaper though.
Best thing to do is shop around and go to online insurance companies websites and fill out a form and get a quote.
Or even call insurance companies and get a quote from them. The cost could still be higher or lower though because a quote isn't a guarantee of what you'll pay for auto insurance each month but it's close.