https://file.aiquickdraw.com/mathbot/file/17261817780591nfm1bvr.jpg

Let's go through the stem-and-leaf plot to answer the questions:

### Actors' Ages (Stem-and-Leaf Plot):
- **2 | 1** → Actor ages starting with 2: 21
- **3 | 98753221** → Actor ages starting with 3: 39, 38, 37, 35, 33, 32, 31
- **4 | 88776543332100** → Actor ages starting with 4: 48, 48, 47, 46, 45, 44, 43, 43, 42, 41, 40, 40
- **5 | 6651** → Actor ages starting with 5: 56, 56, 51
- **6 | 210** → Actor ages starting with 6: 62, 61, 60
- **7 | 6** → Actor age starting with 7: 76
- **8 | 0** → Actor age starting with 8: 80

### Actresses' Ages (Stem-and-Leaf Plot):
- **1 | 14667** → Actress ages starting with 1: 14, 16, 16, 17, 19
- **2 | 00113344455778** → Actress ages starting with 2: 20, 20, 21, 21, 23, 23, 24, 24, 24, 25, 25, 27, 27, 28
- **3 | 411129** → Actress ages starting with 3: 31, 31, 31, 32, 39
- **4 | 11129** → Actress ages starting with 4: 41, 41, 41, 42, 49
- **5 |** (empty)
- **6 | 011** → Actress ages starting with 6: 60, 61, 61
- **7 | 4** → Actress age starting with 7: 74
- **8 |** (empty)

### Now, let's answer the questions:

**(a) What is the age of the youngest actor to win an Oscar?**
- The youngest actor is **21 years old** (from the actors' stem 2 | 1).

**(b) What is the age difference between the oldest and the youngest actress to win an Oscar?**
- The youngest actress is **14 years old** (from the actresses' stem 1 | 4).
- The oldest actress is **74 years old** (from the actresses' stem 7 | 4).
- The age difference is \( 74 - 14 = 60 \) years.

**(c) What is the oldest age shared by two actors to win an Oscar?**
- The oldest age shared by two actors is **56 years** (from the actors' stem 5 | 6651, there are two 56s).

Would you like any more details or explanations?

Here are 5 related questions you could consider:
1. What is the age of the oldest actor to win an Oscar?
2. How many actors were in their 30s when they won an Oscar?
3. What is the most frequent age group for actresses to win an Oscar?
4. What is the median age of actors winning an Oscar?
5. What is the range of ages for actresses to win an Oscar?

**Tip:** In a stem-and-leaf plot, the stem represents the leading digit(s), and the leaf represents the trailing digit(s). It’s a great way to visualize distributions.

The following stem-and-leaf plots compare the ages of 30 actors and 30 actresses at the time they won the Oscar award for Best Actor or Actress. 
(a) What is the age of the youngest actor to win an Oscar? 
(b) What is the age difference between the oldest and the youngest actress to win an Oscar? 
(c) What is the oldest age shared by two actors to win an Oscar?

This problem analyzes the ages of Oscar-winning actors and actresses using stem-and-leaf plots. It explores finding the youngest and oldest ages, calculating age differences, and interpreting shared ages between two actors.

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