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use chebyshev's theorem to find what percent of th

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use chebyshev's theorem to find what percent of the values will fall between 241 and 349 for a data set with a mean of 295 and standard deviation of 18

  • use chebyshev's theorem to find what percent of th - ,

    With
    μ=295
    σ=18²=324
    k=(349-295)=295-241=54

    Chebyshev's Theorem states:
    P(|X-μ|≥k)≤σ²/k²
    =P(|X-295|≥54)≤1/9
    which means that
    P(|X-295|<54)≥1-1/9=8/9
    In words,
    At most 8/9=88.9% of values will fall between 241 and 349.

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