Question

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500.9, with a standard deviation of 10.6.
Find the median of the MCAT scores.

Give your answer to three decimal places.

Answer 1

Using the normal distribution, it is found that the median of the MCAT scores was of 500.9.

Normal Probability Distribution

In a normal distribution with mean $\mu$ and standard deviation $\sigma$, the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

• It measures how many standard deviations the measure is from the mean.

• After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

• The median is also the 50th percentile, hence, in the normal distribution, it is equals to the mean.

In this problem, the mean score was 500.9, hence the median score was also of 500.9.

You can learn more about the normal distribution at brainly.com/question/24663213