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March 30, 2017

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I. Use Chebyshev’s theorem to find what percent of the values will fall between 183 and 227 for a data set with a mean of 205 and standard deviation of 11.

II. Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 297 and standard deviation of 18.

  • Stats - ,

    1. Z = (score-mean)/SD

    Find the Z scores and apply your theorem.

    2. 99.7% fall between Z scores of ± 3.

    Use the equation above.

  • Stats - ,

    1. Z = (s-205)/11 = 205/11 = 18.63???
    This one confuses me

    2. I have no idea how to do this....

    Please help!!

  • Stats - ,

    1. Z = (183-205)/11 = -22/11 = -2

    Z = (227-205)/11 = ?

    Apply the theorem.

    2. 3 = (score-297)/18

    -3 = (score-297)/18

    Solve for each score.

  • Stats - ,

    okay so the first would be 0.75 correct?

    the second one would be
    3 = -16.46
    -3 = -16.46

    is this correct?

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