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Median of {4,10,12,X} =Median of {8,10,11,15}
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17 Jul 2023, 23:02
17 Jul 2023, 23:02
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Median of {4,10,12,X} =Median of {8,10,11,15}
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Quantity A |
Quantity B |
X |
10.5 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) Free Materials for the GRE General Exam - Where to get it!!
\(\Longrightarrow\) Best GRE Test Books of 2023
Re: Median of {4,10,12,X} =Median of {8,10,11,15}
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18 Jul 2023, 12:12
18 Jul 2023, 12:12
1
For median of {4,10,12,X} to equal median of {8,10,11,15} it would have to be 10.5; which is found by the following method:
As, number of elements are 4 (even number), we apply the median of even number of observations formula : {(n/2)th term + [(n/2)+1]th term}/2
From that we get, (2nd term + 3rd term) / 2 = (10+11) / 2 = 10.5
Hence, the only way median of {4,10,12,X} would match the above number would be if X was 11, then during ascending arrangement of elements for calculating median, it would be placed before 12 (at 3rd position); and median of {4,10,12,X} will be based on its 2nd and 3rd elements which would then be 10 and 11.
Hence, as X=11 which is > 10.5, the answer will be A) Quantity A is greater.
As, number of elements are 4 (even number), we apply the median of even number of observations formula : {(n/2)th term + [(n/2)+1]th term}/2
From that we get, (2nd term + 3rd term) / 2 = (10+11) / 2 = 10.5
Hence, the only way median of {4,10,12,X} would match the above number would be if X was 11, then during ascending arrangement of elements for calculating median, it would be placed before 12 (at 3rd position); and median of {4,10,12,X} will be based on its 2nd and 3rd elements which would then be 10 and 11.
Hence, as X=11 which is > 10.5, the answer will be A) Quantity A is greater.
Re: Median of {4,10,12,X} =Median of {8,10,11,15}
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18 Jul 2023, 21:41
18 Jul 2023, 21:41
1
Median of B is 10.5 (average of 10 and 11); for median of 4,10,12,X to be 10.5 X has to be 11. Hence A is greater
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