Approximately 68% of housing prices are between a low price of $144,000 and a high price of $160,000.
The Empirical Rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
Given that the mean of housing prices is $152,000 and the standard deviation is $8,000, we can use the Empirical Rule to determine that approximately 68% of housing prices fall within one standard deviation of the mean. This means that the range of prices that contains 68% of the data is between:
$152,000 - $8,000 = $144,000 and $152,000 + $8,000 = $160,000.
So, approximately 68% of housing prices are between a low price of $144,000 and a high price of $160,000.