Question

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 310 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 raw score, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $x = 310$, $\mu=300$, and $\sigma = 40$.

Step3: Substitute values into formula

Substitute the values into the formula: $z=\frac{310 - 300}{40}$.

Step4: Calculate numerator and denominator

First, calculate the numerator: $310-300 = 10$. Then, divide by the denominator: $\frac{10}{40}=0.25$.

Answer:

0.25