Step 1 :Step1: Identify the given values. Here, the mean (\(\mu\)) is 170 cm, the standard deviation (\(\sigma\)) is 10 cm, and the observed value (x) is 180 cm.
Step 2 :Step2: Use the formula for calculating the z-score: \( z = \frac{x - \mu}{\sigma} \)
Step 3 :Step3: Plug the given values into the formula: \( z = \frac{180 - 170}{10} \)