Anonymous
Anonymous asked in Science & MathematicsMathematics · 6 months ago

Chebyshev's Theorem?

Suppose that quiz scores in a beginning statistics class have a mean of 7.9 with a standard deviation of 0.5. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 6.9 and 8.9? Round your answer to one decimal place.

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  • Favorite Answer

    (8.9 - 7.9) / 0.5 = 1 / 0.5 = 2

    (6.9 - 7.9) / 0.5 = -1 / 0.5 = -2

    1 - 1/k^2

    k = 2, because we're looking at values between 2 sd from the mean

    1 - 1/2^2 =>

    1 - 1/4 =>

    3/4 =>

    0.75

    75%, at least, will be between 6.9 and 8.9

  • Mike G
    Lv 7
    6 months ago

    z(x=8.9) = 2

    z(x=6.9) = -2

    k = 2

    Chebyshev's Theorem

    1-1/k^2

    1 - 1/2^2 = 0.75

    Answer 75%

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