According to Zillow, the median price of homes currently listed in Washington is $449,000 while the median price of homes that sold is $527,150.. The housing market in the nation's capital is red hot, as home values have increased by 10.4% over the past year.he median home value in the Northeastern state is $240,000 and homes generally list for a median price of around $275,000 (or $162 per square foot). If you rent, you're also looking at a hefty housing payment of around $1,500 per month, as per the Zillow reported median.