Median payment seems like a misleading statistic because there are many repayment plans: the default is 10 years for student loans; but income-based repayment could extend that. Affordable monthly payments across the board is good for all graduates, but it doesn't necessarily imply it's $222/month for 10 years for all debtors.
You'll never owe more than 10% of income over 1.5x the federal poverty rate though assuming you don't get private loans (90% of loan disbursements are public).