A set of data constains the terms 1, 2, 3, 4, x. If the median of the set is 3, which of the following...

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Veritas Prep

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. \(x \ge\ 3\)
E. \(x \ge\ 4\)

OA D

[Jay@ManhattanReview]

Veritas Prep

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. \(x \ge\ 3\)
E. \(x \ge\ 4\)

OA D

We see that there are 5 terms and the first 4 terms are arranged in the ascending order. For the median to be 3, we must have 2 terms that are less than or equal to 3 and 2 terms that are greater than or equal to 3.

Since 1 and 2 are less than 3, the two terms 4 and x must be greater than or equal to 3. The correct answer is D.

Correct answer: D

Hope this helps!

-Jay
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