The data represent the age of world leaders on their day of inauguration. Find the​ five-number summary, and construct a boxplot for the data. Comment on the shape of the distribution.
48
61
55
52

55
62
50
58
56
44
65
48
69
44
42
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Part 1
The​ five-number summary is

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​(Use ascending​ order.)

The boxplot above visually represents the distribution of the ages of world leaders on their day of inauguration.

### Comments on the Shape of the Distribution:
- The data is **slightly skewed to the right** (positive skew), as the right whisker (extending towards older ages) is longer.
- The majority of the ages are concentrated between 48 and 61, as seen by the interquartile range (IQR).
- There are no apparent outliers in the dataset.

If you have any further questions or need details, feel free to ask!

Here are 8 follow-up questions:
1. How do you interpret skewness in a dataset?
2. What does the interquartile range (IQR) indicate in a dataset?
3. How would the boxplot change if there were outliers in the data?
4. Can you calculate the mean and standard deviation for this dataset?
5. What other types of visualizations could help analyze this data?
6. How does the median compare to the mean in a skewed distribution?
7. What is the significance of each part of the five-number summary?
8. How would the boxplot change if the dataset had more extreme values?

**Tip:** Boxplots are ideal for spotting outliers and understanding the distribution at a glance.

Explore the distribution of world leaders' ages on their day of inauguration using a five-number summary and boxplot. Understand the shape of the distribution and key statistical insights. Ideal for advanced high school students.

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