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Math Help - help sharing settings accurately.

  1. #1
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    Joined
    Jun 2009
    Posts
    2

    help sharing settings accurately.

    Hi, i will try and explain this problem as simply as i can, its giving me quite a headache.

    Im trying to share settings for a machine equally across three sectors i will call them. Each sector has its own preferred setting however the machine runs all three sectors at once so an average setting must be found.

    To further complicate matters each sector lasts for different lengths of time. So some sectors need more priority more than others when it comes to the average. For example.

    The run of the machine takes 95 secs
    Sector 1 = 8 secs
    Sector 2 = 66.3 secs
    Sector 3 = 20.5 secs

    The settings on a scale of 1-100 for each sector are as follows.
    Sector 1 = 24
    Sector 2 = 91
    Sector 3 = 37

    I know the average of the settings would be 50.6 however i want it to accurately show priority to each sector based on the time taken. Im a completely confused.
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  2. #2
    Junior Member
    Joined
    Mar 2009
    Posts
    27
    Quote Originally Posted by bryman View Post
    Hi, i will try and explain this problem as simply as i can, its giving me quite a headache.

    Im trying to share settings for a machine equally across three sectors i will call them. Each sector has its own preferred setting however the machine runs all three sectors at once so an average setting must be found.

    To further complicate matters each sector lasts for different lengths of time. So some sectors need more priority more than others when it comes to the average. For example.

    The run of the machine takes 95 secs
    Sector 1 = 8 secs
    Sector 2 = 66.3 secs
    Sector 3 = 20.5 secs

    The settings on a scale of 1-100 for each sector are as follows.
    Sector 1 = 24
    Sector 2 = 91
    Sector 3 = 37

    I know the average of the settings would be 50.6 however i want it to accurately show priority to each sector based on the time taken. Im a completely confused.

    I think you're looking for a weighted average (although I'm not 100% sure of what you're doing) basically try to multiply each of the sector values by the proportion of the total time they require then add, thus you would have:

    \frac{8}{94.8}24+\frac{66.3}{94.8}91+\frac{20.5}{9  4.8}37\approx73.6688

    Hope that's of some help to you.
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