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Mean from two averages

  1. Jan 21, 2008 #1
    1. The problem statement, all variables and given/known data

    The average salary of all female workers is £35,000. The average salary of all male workers is £41,000. What must be true about the average salary of all workers?
    A) It must be £38,000.
    B) It must be larger than the median salary.
    C) It could be any number between £35,000 and £41,000.
    D) It must be larger than £38,000.

    2. Relevant equations

    3. The attempt at a solution

    i think the answe is (C) but i'm not sure
  2. jcsd
  3. Jan 21, 2008 #2
    If there are F female workers and M male workers, then the average salary is (35000F +41000M)/(F+M). If F is fixed and you allow M to vary between 0 and infinity what do you find?
  4. Jan 21, 2008 #3
    oh so if we allow M to vary then (C) is the correct answer...right?
  5. Jan 21, 2008 #4
    Aye indeed.
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