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To find the z-score for a population value of 1, given a population mean \(\mu = 22\) and a standard deviation \(\sigma = 7\), we use the z-score formula:

\[
z = \frac{X - \mu}{\sigma}
\]

Where:
- \(X\) is the population value,
- \(\mu\) is the mean, and
- \(\sigma\) is the standard deviation.

Substituting the given values:
\[
z = \frac{1 - 22}{7} = \frac{-21}{7} = -3
\]

So, the z-score is \(-3.00\).

Would you like further details or have any questions?

Here are five related questions for you to consider:
1. How do z-scores help in understanding the distribution of data?
2. What does a negative z-score represent in this context?
3. How can you use z-scores to compare values from different distributions?
4. What percentage of the population falls within one standard deviation from the mean in a normal distribution?
5. Can z-scores be used for non-normal distributions, and how?

**Tip:** Always check the units of your data when calculating z-scores to ensure consistency and accuracy.

Find the z-score for a population value of 1. The population has mean μ = 22 and standard deviation σ = 7.

Learn how to calculate the z-score for a population value of 1, given a population mean of 22 and standard deviation of 7. This problem involves key statistical concepts such as z-scores and standard deviations. Suitable for students in Grades 10-12.

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