Bunuel wrote:

A set of data contains the terms 1, 2, 3, 4, x. If the median of the set is 3, which of the following represents the complete solution set for x?

A. x > 2

B. x > 3

C. x > 4

D. x ≥ 3

E. x ≥ 4

In a list of odd terms the median is the center term. Half of the values will be to the left of the median, and half will be to the right.

Five terms?

term, term, 3, term, termMedian, 3, is the third term

Placement of x:

1, 2, x, 3, 4

x can = 3

1, 2, 3, x, 4

1, 2, 3, 4, x

x can be 3, 4, OR > 4

x ≥ 3

Answer D

List: If not sure, try possible values for \(x\).It takes ~30 seconds to list them

Median must be 3

x < 1 (pick any integer)

-7, 1, 2, 3, 4? NO. 2 is the median

x = 1

1, 1, 2, 3, 4? NO. 2 is the median

x = 2

1,

2, 2, 3, 4? NO. 2 is the median

x = 3

1, 2,

3, 3, 4? Yes. 3 is the median

x > 3, = 4

1, 2, 3, 4,

4? Yes. 3 is the median

x > 3 (pick any integer)

1, 2, 3, 4,

8? Yes. 3 is the median

x can = 3; x can be > 3

x ≥ 3

Answer D

_________________

In the depths of winter, I finally learned

that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"