QUESTION IMAGE
Question
find the z - score. mean = 21 standard deviation: 1.3 x = 22 1.07 0.77 1.26 5.33
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 $\mu = 21$, $\sigma=1.3$, and $x = 22$. Substitute these values into the formula: $z=\frac{22 - 21}{1.3}$.
Step3: Calculate the z - score
$z=\frac{1}{1.3}\approx0.77$
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$0.77$