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19 Nov 2021, 22:53
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
63% (01:21) correct
37%
(01:46)
wrong
based on 141
sessions
History
Date
Time
Result
Not Attempted Yet
10, n, 15, x, 18
If the median of the above list is 12, what is the value of x?
1. n < x.
2. n > 10.
If the median of the above list is 12, what is the value of x?
1. n < x.
2. n > 10.
19 Nov 2021, 22:55
Kudos
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Solution:
Step 1: Analyse Question Stem
The given list consists of 5 elements.
Median of the list is the \({(5 +1)}/{2} \) =3rd term
The median of the given list is 12.
The third term of the list is 12.
So, either n = 12 or x = 12.
We need to find the value of x.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: n < x
We know that either n or x is equal to 12
So, if we arrange the terms, one of the possibilities is 10, n, x, 15, 18, the other possibility could be n, 10, x , 15, 18
In either case, notice x is 3rd term, which is the median.
Hence, x = 12.
Hence, statement 1 is sufficient, we can eliminate answer options B, C, and E.
Statement 2: n > 10
From this statement, we can come up with man possibilities:
Case 1: 10, n, x, 15, 18 OR
Case 2: 10, x, n, 15, 18
Since we don’t know anything about x. We cannot say for sure if x is the median.
Hence, statement 2 is not sufficient, the correct answer is Option A.
Step 1: Analyse Question Stem
The given list consists of 5 elements.
Median of the list is the \({(5 +1)}/{2} \) =3rd term
The median of the given list is 12.
The third term of the list is 12.
So, either n = 12 or x = 12.
We need to find the value of x.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: n < x
We know that either n or x is equal to 12
So, if we arrange the terms, one of the possibilities is 10, n, x, 15, 18, the other possibility could be n, 10, x , 15, 18
In either case, notice x is 3rd term, which is the median.
Hence, x = 12.
Hence, statement 1 is sufficient, we can eliminate answer options B, C, and E.
Statement 2: n > 10
From this statement, we can come up with man possibilities:
Case 1: 10, n, x, 15, 18 OR
Case 2: 10, x, n, 15, 18
Since we don’t know anything about x. We cannot say for sure if x is the median.
Hence, statement 2 is not sufficient, the correct answer is Option A.
22 Aug 2023, 12:50
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
