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n, 15, 12, 9, 20 What is the value of n in the list above?

(1) n> 12. n can be any number greater than 12. Not sufficient. (2) The median of the numbers in the list is 13. We have a list of five (odd) numbers. The median of a set with odd number of elements is the middle element (when arranged in ascending/descending order). Since, no other number in the list is 13, then n must 13. Sufficient.

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Re: What is the value of n in the list above? [#permalink]

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13 Aug 2012, 07:30

1

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IMO B: 1) Not sufficient n can take any value above 12. 2) Sufficient: n=13. All are distinct numbers and 2 values are below 13 and 2 values are above 13.
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n, 15, 12, 9, 20 What is the value of n in the list above?

(1) n> 12 (2) The median of the numbers in the list is 13.

We need to determine the value of n in the list: n, 15, 12, 9, 20.

Statement One Alone:

n > 12

Only knowing that n > 12 is not enough to determine the value of n. For example, n can be 13 or 14 (or some other number greater than 12). Statement one alone does not provide enough information to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

The median of the numbers in the list is 13.

We are given a list of 5 values: n, 15, 12, 9, and 20. Since we have 5 numbers in the list (an odd number of values), the median is equal to the middle value when the data are ordered from least to greatest. Using statement two, when the values are ordered from least to greatest, the list looks like the following:

9, 12, 13, 15, 20

Since 13 is not one of the four known values in the list, we see that 13 must be equal to n.

The answer is B.
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n, 15, 12, 9, 20 What is the value of n in the list above?

(1) n> 12. n can be any number greater than 12. Not sufficient. (2) The median of the numbers in the list is 13. We have a list of five (odd) numbers. The median of a set with odd number of elements is the middle element (when arranged in ascending/descending order). Since, no other number in the list is 13, then n must 13. Sufficient.

Re: What is the value of n in the list above? [#permalink]

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08 Oct 2014, 08:42

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Re: What is the value of n in the list above? [#permalink]

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01 Sep 2015, 03:55

This might be a very easy question but the info in statement 2 is a bit ambiguous to me.

We have the following list of numbers and we don't know what is the value of "n". n, 15, 12, 9, 20

As per statement 2, "The median of the numbers in the list is 13". If we arrange the numbers in the ascending order, there are two possibilities:

(1) 9,12,15,20,n (since we don't know what is the value of "n", it is possible that n is a large number) (2) n, 9,12,15,20 (again we don't know what is the value of "n", "n" could be a small number)

In the first case, the medium is 15 and in the second case the medium is 12.

How come the second statement is sufficient to answer this question?

This might be a very easy question but the info in statement 2 is a bit ambiguous to me.

We have the following list of numbers and we don't know what is the value of "n". n, 15, 12, 9, 20

As per statement 2, "The median of the numbers in the list is 13". If we arrange the numbers in the ascending order, there are two possibilities:

(1) 9,12,15,20,n (since we don't know what is the value of "n", it is possible that n is a large number) (2) n, 9,12,15,20 (again we don't know what is the value of "n", "n" could be a small number)

In the first case, the medium is 15 and in the second case the medium is 12.

How come the second statement is sufficient to answer this question?

The median of a set with odd number of elements is the middle element (when arranged in ascending/descending order). So, the median is one of the following 5 numbers: n, 15, 12, 9, or 20. (2) says that the median is 13 and since no number is 13 there then it must be n. Thus the set is {9, 12, n = 13, 15, 20}
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Re: What is the value of n in the list above? [#permalink]

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11 Sep 2015, 00:34

Statement 1: n can take any value above 12. not sufficient Statement 2: n=13. All are distinct numbers and if arranged in increasing order makes it possible to solve the question

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