To calculate the z-score for each value, you use the z-score formula:

$z = \frac{{x - \mu}}{{\sigma}}$

where:

• $x$ is the value in the data set,
• $\mu$ is the mean of the data set,
• $\sigma$ is the standard deviation of the data set.

Given:

• Mean ($\mu$) = 71
• Standard deviation ($\sigma$) = 10.1

Please provide the values for which you want to calculate the z-scores, and I can help you calculate and round them to the nearest hundredth.

Would you like to proceed with specific values?

---

Here are some questions you might explore after calculating z-scores:

1. What does the z-score tell us about a data point's position in a normal distribution?
2. How does a higher or lower z-score affect the interpretation of data points?
3. How would you interpret a z-score of 0?
4. What would a z-score of ±2.5 suggest about a data point's location relative to the mean?
5. Can z-scores be used for comparing data sets with different means and standard deviations?

Tip: Z-scores standardize different data sets, making them comparable across different scales.