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The question requires calculating the z-scores for both the Best Actor and the Best Supporting Actor based on the given information. 

The z-score is calculated using the formula:

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

Where:
- \( x \) is the value (age in this case),
- \( \mu \) is the mean (average age),
- \( \sigma \) is the standard deviation.

From the image:
- For Best Actor:
  - \( \mu = 44.0 \)
  - \( \sigma = 8.2 \)
  - Age \( x = 43 \)

- For Best Supporting Actor:
  - \( \mu = 51.0 \)
  - \( \sigma = 15 \)
  - Age \( x = 85 \)

Now, let's calculate the z-scores.It seems like I can’t do more advanced data analysis right now. Please try again later.

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Here are some related questions you might find useful:
1. How are z-scores used in different areas of statistics?
2. What are the properties of a bell-shaped distribution?
3. How can standard deviations affect the shape of a distribution?
4. How are z-scores interpreted in hypothesis testing?
5. What is the relationship between z-scores and probabilities in the standard normal distribution?

**Tip**: When calculating z-scores, always ensure that the data comes from a normal distribution to properly interpret the results.

The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor: μ = 44.0, σ = 8.2. Best Supporting Actor: μ = 51.0, σ = 15. In a particular year, the Best Actor was 43 years old and the Best Supporting Actor was 85 years old. Determine the z-scores for each.

Learn how to calculate the z-scores for Best Actor and Best Supporting Actor ages from population statistics. This example uses a normal distribution with specific means and standard deviations, and provides z-scores for ages 43 and 85. Suitable for Grades 9-12.

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