If the data set were normally distributed the mean and median would converge, but RE data is not normally distributed and that’s precisely why the mean is not very useful for measuring trends. It could be useful if you limited the data set to certain price ranges, otherwise relatively few high price homes being sold would significantly impact the mean. In the case of the median, it has almost no impact.
I do really like the idea of tracking median price/sqft though… I think that would be a better measure than just the median. PS brought that up in another thread…