Question

normal distribution - find z score
score: 3/10 penalty: 1 off
question
on a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 40. find the z - score of a person who scored 350 on the exam.
answer attempt 2 out of 2
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Explanation:

Step1: Recall z - score formula

The z - score formula 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 $\mu = 300$, $\sigma=40$, and $x = 350$.

Step3: Substitute values into formula

$z=\frac{350 - 300}{40}=\frac{50}{40}=1.25$

Answer:

$1.25$