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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.
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