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If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x could be

16/5

17/5

4

30/7

31/7

The median is the middle number once all the numbers are arranged in increasing/decreasing order. We see that 11/3 = 3.something, 28/9 = 3.something 21/5 = 4.something 9/2 = 4.something

So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order) Answer (C)
_________________

Re: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x [#permalink]

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29 Mar 2013, 09:29

1

This post received KUDOS

VeritasPrepKarishma wrote:

The median is the middle number once all the numbers are arranged in increasing/decreasing order. We see that 11/3 = 3.something, 28/9 = 3.something 21/5 = 4.something 9/2 = 4.something

So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order) Answer (C)

The median could be some number such as 4.01 or 3.99, in that we would have to test answer choices too ? Am I right ?

The median is the middle number once all the numbers are arranged in increasing/decreasing order. We see that 11/3 = 3.something, 28/9 = 3.something 21/5 = 4.something 9/2 = 4.something

So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order) Answer (C)

The median could be some number such as 4.01 or 3.99, in that we would have to test answer choices too ? Am I right ?

Yes, x could be 3.99, 4.01 etc but x could be 4 too. The question says 'x could be', which means there are various possible values of x but only one value is given in the five options. Since we see that 4 is already there and x can certainly be 4, it means we don't need to test any other options because they cannot be the value of x. After all, PS questions have only one correct answer.
_________________

Since the set has 5 numbers the median has to be the middle value Arranging the number in ascending order we get 3.13, 3.66, 4.2, 4.5. Now for x to be the median of the given set, x has to lie between 3.66 and 4.2. Only one option satisfies the condition i.e x =4

Re: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x [#permalink]

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09 Jul 2014, 06:40

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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