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

1. 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.