Question

Yesterday, an automobile dealership sold exactly 15 vehicles for a total of $225,000. Did at least one of the vehicles sell for more than $16,500?
(a) The median price for the 15 vehicles was $13,000.
(b) The range for the price of the 15 vehicles was $4,000.

Answer 1

Answer:

Option A is correct

Explanation:

In the question above, we have:

• 15 vehicles sold for $225,000, therefore, the average price was $225,000/15 = $15,000

A. The median price for the 15 vehicles was $13,000.

If the median price was $13,000, this means that half the cars were at that price or below. For every car that was below $13,000, there has to be a car above $17,000 to balance it out, to make the average stay at $15,000. If half the cars are below $13,000 and the highest cars are not above $16,500, then it would not be possible to have an average of $15,000. This statement implies that at least one car is above $17,000, and therefore has to be above $16,500. This answers to the question. This statement is sufficient.