The dollar price of a house in a certain neighborhood is in the 60th percentile. which of the following can be concluded with certainty?
a) The price of this house is above the neighborhood’s median price.
b)The price of this house is above the neighborhood’s average price.
c) The price of this house is above the neighborhood’s mode price.
d) None of the choices can be concluded with certainty.
The price of the house is 60th percentile that is 60% of the house prices are less than this house's price.
Median is the 50th percentile. That is 50% of the house prices are less than this house's price.
This means that the price of the house under consideration is more than the median price.
Then relation between the current house price and the average price and mode price cannot be established with certainty with only the available data.
Hence answer is :
a) The price of this house is above the neighborhood’s median price.
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