Question

find the z - score. mean = 27 standard deviation: 1.4 x = 11 -11.43 4.16 7.85 -2.33

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 $\mu = 27$, $\sigma=1.4$, and $x = 11$. Substitute these values into the formula: $z=\frac{11 - 27}{1.4}$.

Step3: Calculate the numerator

$11-27=-16$.

Step4: Calculate the z - score

$z=\frac{-16}{1.4}\approx - 11.43$.

Answer:

-11.43