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21 December, 03:33

The grades on a history midterm at Almond are roughly symmetric with y = 85 and o = 2.0.

Michael scored 86 on the exam.

Find the z-score for Michael's exam grade. Round to two decimal places.

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  1. 21 December, 03:58
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    The z-score for Michael's exam grade is 0.50

    Step-by-step explanation:

    Data

    mean, μ = 85 standard deviation, σ = 2.0 Michael's exam grade is the value of interest, x = 86

    From definition, z-score is computed as follows:

    Z = (x - μ) / σ

    Z = (86 - 85) / 2.0

    Z = 0.50
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