From the Census Bureau: "The median sales price of new houses sold in January 2020 was $348,200. The average sales price was $402,300."
The following graph shows the median and average new home prices.
During the housing bust, the builders had to build smaller and less expensive homes to compete with all the distressed sales. When housing started to recovery - with limited finished lots in recovering areas - builders moved to higher price points to maximize profits.
The average price in January 2020 was $402,300, and the median price was $348,200.
The second graph shows the percent of new homes sold by price.
The $400K+ bracket increased significantly since the housing recovery started, but has been holding steady recently. Still, a majority of new homes (about 55%) in the U.S., are in the $200K to $400K range.