on a standardized exam, the scores are normally distributed with a mean of 80 and a standard deviation of…

on a standardized exam, the scores are normally distributed with a mean of 80 and a standard deviation of 20. find the z - score of a person who scored 90 on the exam.

on a standardized exam, the scores are normally distributed with a mean of 80 and a standard deviation of 20. find the z - score of a person who scored 90 on the exam.

Answer

Answer:

$0.5$

Explanation:

Step1: Recall z - score formula

$z=\frac{x-\mu}{\sigma}$

Step2: Identify values

$x = 90$, $\mu=80$, $\sigma = 20$

Step3: Substitute values into formula

$z=\frac{90 - 80}{20}=\frac{10}{20}=0.5$