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Math Help - Determining "average"

  1. #1
    Junior Member
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    Nov 2007
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    48

    Determining "average"

    Greetings.

    Given the information in the following table (see link), I am required to estimate the following two quantities:



    a) total number of hospitals that can be described as "average veterinary practices"?
    b) number of "average veterinary practices" that are primary care and emergency care?

    Would greatly appreciate assistance with the above.

    Best regards,
    wirefree
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  2. #2
    Junior Member
    Joined
    Nov 2007
    Posts
    48

    Follow-up

    Further to my previous post, in this post I am distilling the information from the linked table and also submitting some of my initial workings. I will state my question clearly thereafter and hope one of you will be able to guide me.

    Aim: Find the number of "average veterinary practices".

    Information:
    1) There are two types of veterinary practices: 'Primary Care' (95%) and 'Emergency Care' (5%), for a total of 15000.

    2) For the sake of simplicity, we will define an "average veterinary practice" in terms of the average number of doctors it employs.

    3)
    25% of veterinary practices (or 3750) are 1 doctor Primary Care practices and have an average of 1 doctor
    30% of veterinary practices (or 4500) are 2 doctor Primary Care practices and have an average of 2 doctors
    40% of veterinary practices (or 6000) are 3+ doctor Primary Care practices and have an average of 4.6 doctors
    5% of veterinary practices (or 750) are Emergency Care practices and have an average of 4 doctors

    Note: It is given that the average # of doctors across all Primary Care veterinary practices is 2.7

    Question 1:
    Since the average # of doctors across both types of hospitals is .95*2.7+.05*4 = 2.76, could the number of veterinary practices that may be considered "average", in terms of the number of doctors employed, be 95% of hospitals or 14,250?

    Question 2:
    Should the above be correct, is it also correct to state that 95% of the 14250 "average veterinary practices" are Primary Care and the rest are Emergency Care?

    Would greatly appreciate some guidance.

    Best regards,
    wirefree
    Last edited by wirefree; February 15th 2010 at 12:05 PM.
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