https://file.aiquickdraw.com/mathbot/file/1726444313519haapjxnw.jpg

The problem in the image is asking to calculate the z-score for Ashley's exam score.

The z-score formula is:

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

Where:
- \( X \) is Ashley's score (57),
- \( \mu \) is the mean score (83),
- \( \sigma \) is the standard deviation (9).

Now, let's calculate the z-score:

\[
z = \frac{57 - 83}{9}
\]The z-score for Ashley's exam score is \(-2.89\), which means her score is 2.89 standard deviations below the mean.

Do you want more details or have any questions?

Here are 5 related questions to expand on this concept:
1. How do you interpret a z-score in terms of standard deviations from the mean?
2. What does a negative z-score indicate in a normal distribution?
3. Can a z-score be used to compare scores from different exams?
4. How would the z-score change if the standard deviation were higher?
5. What is the probability of scoring lower than Ashley in a normal distribution?

**Tip:** A z-score helps in comparing data points across different distributions by standardizing their values.

Ashley is in her first semester at a university and is taking a calculus course with a large enrollment. She just took her midterm exam and is nervous about her score, which was 57. Among all the students in the course, the mean was 83 with a standard deviation of 9. Find the z-score of Ashley's exam score relative to the exam scores among all the students in the course. Round the answer to two decimal places.

Learn how to calculate the z-score for Ashley's midterm exam score of 57. With a mean score of 83 and a standard deviation of 9 among all students, find the z-score rounded to two decimal places. This problem covers essential concepts in statistics, including standard deviation and z-score.

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