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Set A consists of the numbers {1, 4, 9, 9, 12}. Set B consists of the
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12 Apr 2018, 10:29
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Set A consists of the numbers {1, 4, 9, 9, 12}. Set B consists of the numbers {1, 6, 8, 12}. If Set C is formed by combining Sets A and B, which of the following expressions give the relationship between the medians of sets A, B, and C? A. B = C and C > A B. A < B < C C. B < A < C D. B < C < A E. A = C and C > B
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Re: Set A consists of the numbers {1, 4, 9, 9, 12}. Set B consists of the
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12 Apr 2018, 10:42
Bunuel wrote: Set A consists of the numbers {1, 4, 9, 9, 12}. Set B consists of the numbers {1, 6, 8, 12}. If Set C is formed by combining Sets A and B, which of the following expressions give the relationship between the medians of sets A, B, and C?
A. B = C and C > A
B. A < B < C
C. B < A < C
D. B < C < A
E. A = C and C > B A = {1, 4, 9, 9, 12} Median (A) = 9 B = {1, 6, 8, 12} Median (B) = \(\frac{(6+8)}{2} = 7\) Combining sets is taking the Union. (All elements of both sets form the new set C)C = {1, 1, 4, 6, 8, 9, 9, 12} Median (C) = 8 Hence Median of : B < C < A Option (D) is out answer. Best, Gladi



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Re: Set A consists of the numbers {1, 4, 9, 9, 12}. Set B consists of the
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12 Apr 2018, 12:15
Hey Gladi, wouldn’t median of group C be 7? (6+8)/2? Thanks in advance! Cheers.
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Set A consists of the numbers {1, 4, 9, 9, 12}. Set B consists of the
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12 Apr 2018, 12:25
jayantbakshi wrote: Hey Gladi, wouldn’t median of group C be 7? (6+8)/2? Thanks in advance! Cheers.
Sent from my iPhone using GMAT Club Forum Hey jayantbakshi, The median of a set with odd number of elements is always the middle element. So median of C will be 8 as it is the middle element. Also C has two 12s instead of one. Which I forgot to outline in my original answer. So.. C={1,1,4,6,8,9,9,12,12} Now does it make sense? Best, Gladi Posted from my mobile device



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Re: Set A consists of the numbers {1, 4, 9, 9, 12}. Set B consists of the
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12 Apr 2018, 12:28
Gladiator59 wrote: jayantbakshi wrote: Hey Gladi, wouldn’t median of group C be 7? (6+8)/2? Thanks in advance! Cheers.
Sent from my iPhone using GMAT Club Forum Hey jayantbakshi, The median of a set with odd number of elements is always the middle element. So median of C will be 8 as it is the middle element. Does that make sense? Best, Gladi Posted from my mobile deviceHey Gladi, thanks. I think the set C mentioned in your post had only 8 items  guess the number 12 was written only once  so I got confused. Thanks so much for the explanation, cheers man! Sent from my iPhone using GMAT Club Forum mobile app



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Re: Set A consists of the numbers {1, 4, 9, 9, 12}. Set B consists of the
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12 Apr 2018, 21:35
Set A {1, 4, 9, 9, 12} = Median  9 Set B {1, 6, 8, 12} = Median  7 Set C {1,1,4,6,8,9,9,12,12} = Median = 8 We get B < C < A Answer: D
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