Question

find the z - score. mean: 16 standard deviation: 4 x = 11

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 $\mu = 16$, $\sigma=4$, and $x = 11$. Substitute these values into the formula: $z=\frac{11 - 16}{4}$.

Step3: Calculate the numerator

$11-16=-5$. So, $z=\frac{-5}{4}$.

Step4: Simplify the fraction

$\frac{-5}{4}=-1.25$.

Answer:

$-1.25$