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Julian’s z-core was 1.39 on the mcat. if the mean was 33 and the standard deviation was 16, and the distribution was normal, what percentage of students scored above julian?

User VT Chiew
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1 Answer

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Final answer:

To find the percentage of students that scored above Julian on the MCAT, we need to calculate the area under the normal curve to the right of Julian's z-score.

Step-by-step explanation:

To find the percentage of students that scored above Julian, we need to calculate the area under the normal curve to the right of Julian's z-score.

The z-score formula is z = (x - mean) / std_dev.

Substituting the given values into the formula, we get z = (1.39 - 33) / 16 = -1.9625.

Using a standard normal distribution table or calculator, we can find that the area to the left of -1.9625 is approximately 0.0241.

Therefore, the percentage of students that scored above Julian is 100% - (0.0241 * 100) = 97.59%.

User Dmeehan
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