Scores on a standardized test are approximately normally distributed with a mean of 480 and a standard deviation of 90. A student has a scor

Question

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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Everleigh 6 days 2021-10-08T04:47:03+00:00 1 Answer 0

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    2021-10-08T04:48:11+00:00

    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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