Question

find the z - score for the data point x given mean μ and standard deviation σ. round to two decimal places as needed.
x = 79
μ = 75
σ = 2
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Explanation:

Step1: Recall z - score formula

The formula for the z - score is $z=\frac{x - \mu}{\sigma}$.

Step2: Substitute given values

Substitute $x = 79$, $\mu=75$, and $\sigma = 2$ into the formula: $z=\frac{79 - 75}{2}$.

Step3: Calculate the numerator

$79-75 = 4$, so $z=\frac{4}{2}$.

Step4: Calculate the z - score

$\frac{4}{2}=2.00$.

Answer:

$2.00$