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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