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Thread: Mean Value Isolation

  1. #1
    RSM
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    Mean Value Isolation

    Pokey John, the class simpleton, has again scored the lowest mark in his remedial mirror-fogging course. There were 11 students in the course whose mean mark was 65%. The six women in the course had a mean mark of 68%. If it hadn't been for Pokey John, the men in the course would have had a mean mark of 2% higher than the women. What was Pokey John's mark and what was the mean mark for all the men in the class, including Pokey John?
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  2. #2
    MHF Contributor
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    Re: Mean Value Isolation

    $$\dfrac{p+m+w}{11}=.65$$

    $$\dfrac{w}{6}=.68$$

    $$\dfrac{m}{4}=.7$$

    Solve for $p$, then solve for $\dfrac{p+m}{5}$.

    This gives $p=.27$ and $\dfrac{p+m}{5}=.614$.
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