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Statistics

This topic has 2 expert replies and 0 member replies

Statistics

Post Sat Sep 17, 2016 1:22 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If 11m -n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?

    a) 2m-1
    b) 4m
    c) 6m
    d) m/5
    e) 6m/5

    Please assist with above problem.

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    Post Sat Sep 17, 2016 2:52 am
    alanforde800Maximus wrote:
    If 11m -n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?

    a) 2m-1
    b) 4m
    c) 6m
    d) m/5
    e) 6m/5
    p = 11m - n.

    Let m=3 and n=0, with the result that p = (11*3) - 0 = 33.
    Average of m, n and p = (3+0+33)/3 = 12. This is our target.
    Now plug m=3 into the answer choices to see which yields our target of 12.
    Only B works:
    4m = 4*3 = 12.

    The correct answer is B.

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    Post Sat Sep 17, 2016 3:05 am
    alanforde800Maximus wrote:
    If 11m -n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?

    A) 2m-1
    B) 4m
    C) 6m
    D) m/5
    E) 6m/5

    Another approach:

    Average = (m + n + p)/3
    Replace p with 11m - n, to get:
    Average = [m + n + (11m - n)]/3
    = 12m/3
    = 4m
    = B

    Related Video: https://www.gmatprepnow.com/module/gmat-statistics/video/800

    Cheers,
    Brent

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    Thanked by: alanforde800Maximus
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