Question

question
on a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. find the z - score of a person who scored 320 on the exam.
answer attempt 1 out of 2

Explanation:

Step1: Recall z - score formula

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

Step2: Identify values

We are given that $\mu = 300$, $\sigma=20$, and $x = 320$.

Step3: Substitute values into formula

$z=\frac{320 - 300}{20}$

Step4: Calculate

$z=\frac{20}{20}=1$

Answer:

$1$