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29 Oct 2015, 19:18
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
88% (01:01) correct
12%
(01:09)
wrong
based on 121
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{5, 10, 12, 13, 17, 22, 22}
Which of the following values, when inserted into the set of 7 values (above), will cause the median of the new set to become 15?
A) 2
B) 11
C) 15
D) 16
E) 17
QUANT 4-PACK SERIES Problem Solving Pack 2 Question 1 Which of the following values...
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Which of the following values, when inserted into the set of 7 values (above), will cause the median of the new set to become 15?
A) 2
B) 11
C) 15
D) 16
E) 17
QUANT 4-PACK SERIES Problem Solving Pack 2 Question 1 Which of the following values...
48 Hour Window Answer & Explanation Window
Earn KUDOS! Post your answer and explanation.
OA, and explanation will be posted after the 48 hour window closes.
This question is part of the Quant 4-Pack series
Scroll Down For Official Explanation
musunna
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GMAT 1: 530 Q40 V23
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WE:Analyst (Commercial Banking)
29 Oct 2015, 22:03
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Quote:
Concept of Median
Median is the middle number of a sorted distribution. In case of even number of items, Median will be the average of middle two values.
The question asks for a new number that will cause the median of new set at 15.
Mentionable that given set is already sorted and number of items of new set will be 7+1 = 8.
To get median 15, the sum of 4th & 5th Term should be 30 and luckily it's exactly same in the existing series i.e. 13+17.
So to keep the median 15, the new item should be >=17.
Thus correct option (E)
ENGRTOMBA2018
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30 Oct 2015, 04:17
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EMPOWERgmatRichC
For the new number to push the median of a set with 8 elements to 15 ---> average of the 4th and the 5th term with the new element = 15
New set's 4th term = 13
Thus, (13+x)/2=15 ---> x = 17.
E is the correct answer.
