Question

on a standardized exam, the scores are normally distributed with a mean of 500 and a standard deviation of 25. find the z - score of a person who scored 525 on the exam.

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the data point, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $\mu = 500$, $\sigma=25$, and $x = 525$.

Step3: Substitute values into formula

$z=\frac{525 - 500}{25}$
$z=\frac{25}{25}$
$z = 1$

Answer:

1