Problem

The average height of adults in a certain population is 170 cm with a standard deviation of 10 cm. If a person from this population has a height of 180 cm, what is the z-score?

Answer

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Answer

Step3: Plug the given values into the formula: \( z = \frac{180 - 170}{10} \)

Steps

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: \( z = \frac{180 - 170}{10} \)

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