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List A: 1, 2, 7, 8, 15, 2, 3, 5, 6, 13 x is the median of th

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List A: 1, 2, 7, 8, 15, 2, 3, 5, 6, 13 x is the median of th [#permalink] New post 24 May 2017, 01:40
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List \(A: 1, 2, 7, 8, 15, 2, 3, 5, 6, 13\)

x is the median of the even numbers in List A.

y is the median of the prime numbers in List A.

z is the median of the least and greatest numbers in List A.

Quantity A
Quantity B
The median of 2x, y, and z
z


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.
[Reveal] Spoiler: OA

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Re: List A: 1, 2, 7, 8, 15, 2, 3, 5, 6, 13 x is the median of th [#permalink] New post 24 May 2017, 09:36
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Carcass wrote:




List A: 1, 2, 7, 8, 15, 2, 3, 5, 6, 13

x is the median of the even numbers in List A.

y is the median of the prime numbers in List A.

z is the median of the least and greatest numbers in List A.

Quantity A
Quantity B
The median of 2x, y, and z
z


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.


Since we're dealing with MEDIANS, let's first arrange the values in ASCENDING ORDER
List A: 1, 2, 2, 3, 5, 6, 7, 8, 13, 15

x is the median of the even numbers in List A.
EVEN numbers: 2, 2, 6, 8
The two middlemost numbers are 2 and 6
x = (2+6)/2 = 4

y is the median of the prime numbers in List A.
PRIME numbers: 2, 2, 3, 5, 7, 13
The two middlemost numbers are 3 and 5
y = (3+5)/2 = 4

z is the median of the least and greatest numbers in List A.
Least and greatest numbers are 1 and 15
z = (1 + 15)/2 = 8

We get...
Quantity A: median of (2)(4), 4 and 8
Quantity B: 8

Simplify:
Quantity A: median of 8, 4 and 8
Quantity B: 8

We get:
Quantity A: 8
Quantity B: 8
The quantities are equal

Answer:
[Reveal] Spoiler:
C


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Re: List A: 1, 2, 7, 8, 15, 2, 3, 5, 6, 13 x is the median of th   [#permalink] 24 May 2017, 09:36
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