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Math Help - Weighing scores based on participation

  1. #1
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    Weighing scores based on participation

    First of all let me apologize for my lack of math skills.
    I am trying to figure out how to weigh scores based on participation rate.
    Data:
    4 groups of people (doesnt matter how many in each group) have the opportunity to take a test.
    Each group varies in participation and average score.

    Example:
    Group ....... Avg Score ....... Participation Rate
    Group1....... 1134............... 3%
    Group2....... 1101............... 9%
    Group3....... 1021............... 19%
    Group4....... 1001............... 70%
    Group5....... 998................. 89%

    There should be a way to weigh the scores based on participation giving a more acurate "higher score"

    Thanks in advance for any help
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  2. #2
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    Re: Weighing scores based on participation

    How do you want to weight this?

    Does a lower participation rate deserve more reward, or vice versa?
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  3. #3
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    Re: Weighing scores based on participation

    if only 3% of a large group of people participate and get a higher score than a similarly large group with a participation rate of 89%, the slightly lower score does not seem fair does it? Punishment for larger participation needs to be negated at least somewhat.
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  4. #4
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    Re: Weighing scores based on participation

    I may actually have it now.... What do you think?
    Groupx Participation% X (Overall Average % of participations X Groupx Score) = Weight
    Groupx Score + Weight = new ranking score
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