Question

1. a distribution has a mean of 50 and a standard deviation of 4. what is the z - score for x = 58?

a. 3
b. 2
c. -3
d. -2

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 $\mu = 50$, $\sigma=4$, and $x = 58$.

Step3: Substitute values into formula

$z=\frac{58 - 50}{4}=\frac{8}{4}=2$

Answer:

B. 2