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2 December, 00:25

A normal distribution has a mean of 104 and a standard deviation of 1.9.

What is the z-score of 108?

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  1. 2 December, 02:13
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    Answer: approximately 2.11

    Work Shown:

    x = 108 is the raw score we want to transform

    mu = 104 is the mean

    sigma = 1.9 is the standard deviation

    z = (x-mu) / sigma

    z = (108-104) / 1.9

    z = 4/1.9

    z = 2.10526315789473 which is approximate

    z = 2.11 rounding to two decimal places

    I'm rounding to two decimal places because many z tables will work with this level of precision.
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