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A set of data consists of the terms. . .

This topic has 1 expert reply and 0 member replies

A set of data consists of the terms. . .

Post Fri Sep 22, 2017 9:41 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    A set of data consists of the terms {2, 8, 13, 15, x}. If the range of the set is 2x, which of the following could be the value of x?

    A) -2
    B) 3.5
    C) 5
    D) 6.5
    E) 7.5

    The OA is D.

    I didn't understand how to solve this PS question. I need help.

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Fri Sep 22, 2017 10:13 am
    Hi Vincen,

    When given a group of numbers, the 'range' is the difference between the largest number and the smallest number. Here, we're given a set of numbers that includes a variable:

    {2, 8, 13, 15, X}

    The value of X could be smaller than 2, greater than 15 or something 'in between.' We're told that the range of this group is 2X though, so we have to find a value of X that would lead to that specific range.

    Using the 4 numbers that we're given, we know that the range is at least 15-2 = 13 (and it could be greater depending on the value of X). Focusing on that minimum range though, if we set 2X = 13, then X would be 6.5; that answer IS among the five answer choices, so we can stop working.

    Final Answer: D

    GMAT assassins aren't born, they're made,
    Rich

    _________________
    Contact Rich at Rich.C@empowergmat.com

    Thanked by: Vincen

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