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What is the value of n in the list above?

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What is the value of n in the list above? [#permalink] New post 13 Aug 2012, 06:17
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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.

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Re: What is the value of n in the list above? [#permalink] New post 13 Aug 2012, 06:17
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SOLUTION

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.

Answer: B.
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Re: What is the value of n in the list above? [#permalink] New post 13 Aug 2012, 06:30
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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Re: What is the value of n in the list above? [#permalink] New post 17 Aug 2012, 01:05
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SOLUTION

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.

Answer: B.
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RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: What is the value of n in the list above? [#permalink] New post 08 Oct 2014, 07:42
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Re: What is the value of n in the list above? [#permalink] New post 01 Sep 2015, 02:55
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?
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Re: What is the value of n in the list above? [#permalink] New post 01 Sep 2015, 03:34
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HarveyKlaus wrote:
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}
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: What is the value of n in the list above?   [#permalink] 01 Sep 2015, 03:34
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