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8 January, 21:23

Scores on a standardized test are approximately normally distributed with a mean of 480 and a standard deviation of 90. A student has a score of 600. What percentile is the student's score closest to

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  1. 8 January, 21:42
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    Answer: the student's score closest to 91 percentile.

    Step-by-step explanation:

    Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as

    z = (x - µ) / σ

    Where

    x = test scores.

    µ = mean score

    σ = standard deviation

    From the information given,

    µ = 480

    σ = 90

    If a student has a score of 600, then x = 600

    For x = 600,

    z = (600 - 480) / 90 = 1.33

    Looking at the normal distribution table, the probability corresponding to the z score is 0.91

    the student's score closest to 91 percentile.
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