Question

score: 7/10 penalty: 1 off question on a standardized exam, the scores are normally distributed with a mean of 450 and a standard deviation of 25. find the z - score of a person who scored 425 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 $\mu = 450$, $\sigma=25$, and $x = 425$.

Step3: Substitute values into formula

$z=\frac{425 - 450}{25}=\frac{- 25}{25}=-1$

Answer:

$-1$