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Re: 9, 9, 9, 7, 7, 15, 11, ? 32. The eight numbers shown repre [#permalink]
This question would have been definitely better as a Quantitative Comparison question where the question taker has to figure out how the value of x could affect the median of the set of numbers.

Since it is numerical entry question then you know there is a definite answer and you shouldn't consider the value of x as relevant.
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Re: 9, 9, 9, 7, 7, 15, 11, ? 32. The eight numbers shown repre [#permalink]
1
Carcass wrote:
9, 9, 9, 7, 7, 15, 11, x

The eight numbers shown represent the weight, in pounds, of eight cats in a pet store. What is the median weight, in pounds, of the eight cats in the pet store?

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9


The logical reasoning for this problem is as follows.

We should divide into some cases after we put numbers in ascending order.
We have numbers \(7, 7, 9, 9, 9, 11, 15\) and \(x\).

Case 1) \(x \le 7\)
Then we have \(x, 7, 7, 9, 9, 9, 11, 15\) in ascending order and their median is \(9\).

Case 2) \(7 < x \le 9\)
Then we have \(7, 7, x, 9, 9, 9, 11, 15\) in ascending order and their median is \(9\).

Case 3) \(9 < x \le 11\)
Then we have \(7, 7, 9, 9, 9, x, 11, 15\) in ascending order and their median is \(9\).

Case 4) \(11 < x \le 15\)
Then we have \(7, 7, 9, 9, 9, 11, x, 15\) in ascending order and their median is \(9\).

Case 5) \(15 < x\)
Then we have \(7, 7, 9, 9, 9, 11, 15, x\) in ascending order and their median is \(9\).

All cases tell \(9\) is their median, whatever \(x\) is.
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Re: 9, 9, 9, 7, 7, 15, 11, ? 32. The eight numbers shown repre [#permalink]
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