Question

question on a standardized exam, the scores are normally distributed with a mean of 125 and a standard deviation of 40. find the z - score of a person who scored 145 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 data - point, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $\mu = 125$, $\sigma=40$, and $x = 145$.

Step3: Substitute values into formula

$z=\frac{145 - 125}{40}=\frac{20}{40}$

Step4: Simplify

$z = 0.5$

Answer:

$0.5$