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This problem involves calculating Gregor's score based on his z-score, the average score (mean), and the standard deviation.

The formula to calculate the score from a z-score is:

\[
X = \mu + z \cdot \sigma
\]

Where:
- \( X \) is the score we're trying to find.
- \( \mu \) is the mean (average) score, which is 79.
- \( z \) is the z-score, given as -1.
- \( \sigma \) is the standard deviation, which is 4.

Now, substituting the values into the formula:

\[
X = 79 + (-1) \cdot 4 = 79 - 4 = 75
\]

So, Gregor scored **75 points**.

Would you like further clarification or additional details on this calculation? Here are some related questions:

1. How does a z-score relate to standard deviations from the mean?
2. What does a negative z-score indicate about a student's performance?
3. How would you calculate a score for a z-score of 0?
4. What happens if the z-score is a positive number instead of negative?
5. Why is the z-score important in statistics for comparing different data sets?

**Tip:** A negative z-score indicates that the score is below the mean, while a positive z-score indicates it's above the mean.

The average score on the Stats midterm was 79 points with a standard deviation of 4 points, and Gregor's z-score was -1. How many points did he score?

Learn how to calculate Gregor's score from a z-score of -1 with a mean of 79 and a standard deviation of 4. This problem covers key concepts in statistics, including z-scores, mean, and standard deviation.

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