The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The cost for a sample of nine cars, in hundreds of dollars, is provided below[10 6 8 10 4 3.5 7.5 8 9] What is the median cost of the total damage suffered for this sample of cars?

The median cost of the total damage suffered for this sample of cars is 8 thousand dollars.

Step-by-step explanation:

The median is the value that separates the lower 50% of the values from the upper 50%.

The first step is placing the values in order.

So

[10 6 8 10 4 3.5 7.5 8 9]

Ordered

[3.5 4 6 7.5 8 8 9 10 10]

The sample has an odd size, which is 9.

So the median is the element at the position (9+1) / 2 = 5, which is 8

So the median cost of the total damage suffered for this sample of cars is 8 thousand dollars.

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