Question

find the z - score. mean = 22 standard deviation: 3.1 x = 29 -2.26 1.26 2.26 16.45

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 $\mu = 22$, $\sigma=3.1$, and $x = 29$. Substitute these values into the formula: $z=\frac{29 - 22}{3.1}$.

Step3: Calculate the numerator

$29−22 = 7$. So, $z=\frac{7}{3.1}$.

Step4: Calculate the z - score

$z=\frac{7}{3.1}\approx2.26$.

Answer:

2.26