Question

find the z - score. mean = 25 standard deviation: 7 x = 9.6 23.46 -36 -2.2 5.2

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: Substitute given values

We are given that $\mu = 25$, $\sigma=7$, and $x = 9.6$. Substitute these values into the formula: $z=\frac{9.6 - 25}{7}$.

Step3: Calculate the numerator

$9.6−25=- 15.4$. So, $z=\frac{-15.4}{7}$.

Step4: Calculate the z - score

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

Answer:

-2.2