Question

normal distribution - find z score
score: 5/10 penalty: 1 off
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question
on a standardized exam, the scores are normally distributed with a mean of 700 and a standard deviation of 100. find the z - score of a person who scored 675 on the exam.
answer attempt 1 out of 2
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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 $\mu = 700$, $\sigma=100$, and $x = 675$.

Step3: Substitute values into formula

$z=\frac{675 - 700}{100}=\frac{- 25}{100}=-0.25$

Answer:

$-0.25$