Question

two new houses have been purchased in springfield, however, the median does not change. what must be true about the purchase price of the two new house sales? explain your reasoning

Answer 1

For the median of house prices in Springfield to remain unchanged after the purchase of two new houses, it must be true that the purchase prices of the new houses fall within the existing range of prices in the neighborhood.

Reason for median to remain unchanged

The median is the number in the middle of a set of numbers when you put them in order from smallest to largest or largest to smallest. In simple words, the median house price is the middle price, where half of the houses cost less and half cost more.

If two new houses are bought in the neighborhood and the median price stays the same, it means the prices of these houses must be in the same price range as the other houses. If the prices of the new houses were higher, the median price would go up. On the other hand, if the prices for things you buy were lower than they are now, the middle price would go down.