# Proportionately More Sales of Higher-end Homes and Fewer Sales of Lower-end Homes Drive up Median Price, even if Actual Prices Don’t Change.

So for example: “Home sales changed little overall, but the upper-end market is experiencing a sizable gain due to more supply coming onto the market,” the National Association of Realtors pointed out in its report that particular month. It said that:

• Inventory of homes for sale of over \$1,000,000: +34% year-over-year.
• The “median price” (the price in the middle) was \$410,000
• Total sales were roughly unchanged year-over-year.
• But sales of homes of \$750,000-\$1,000,000: +24% year-over-year
• And sales of homes of over \$1,000,000: +40% year-over-year
• Proportionally fewer homes sold in the mid- and lower-range.

That’s what the change in mix looked like in that particular month. There was a big shift toward the higher end and the very high of what actually sold, with proportionally fewer mid-range and lower-end homes selling.

### This shift in the mix of what sold drove up the median price.

To illustrate the principle of how a change in the mix skews the median price, we look at our illustration market where 11 homes were in inventory at the beginning of the month, and 9 of those homes then sold.

The median price is the price in the middle of those 9 homes that sold. To get the median price, we make a list of the 9 homes that sold in order of price: The price of the fifth home from the top (or fifth home from the bottom) is the price in the middle = median price.

In the left column, the bottom nine homes sold (blue), and the top two (black) didn’t sell. The median price is the price in the middle of the 9 homes that sold: \$400,000.

In the right column, we see the same homes, same prices, but the top two higher-end homes sold, while the bottom two didn’t sell. So this shift in mix shifted the price in the middle (median price) up to \$500,000.

In other words, the median price jumped by 100,000 though the actual home prices didn’t change. This is one of the infamous shortcomings of median prices — that they’re skewed by changes in the mix.

The same occurs the other way around: The median price is skewed lower by an increase in sales of lower-end homes and decrease in sales of higher-end homes, even if actual prices don’t change.

Home price data based on median prices are to be enjoyed with a lot of prudence for that reason.