Question

find the z - score. mean = 25 standard deviation:? x = 9.6

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. Here, $\mu = 25$, $\sigma=7$, and $x = 9.6$.

Step2: Substitute values into formula

$z=\frac{9.6 - 25}{7}$.

Step3: Calculate the numerator

$9.6−25=-15.4$.

Step4: Calculate the z - score

$z=\frac{-15.4}{7}=-2.2$.

Answer:

$-2.2$