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.
6868
6666
6767
5959

5656
5959
6666
4141
4444
5757
6868
6969
4848
6565
6767

### Five-Number Summary:
1. **Minimum**: 41
2. **First Quartile (Q1)**: 56
3. **Median (Q2)**: 65
4. **Third Quartile (Q3)**: 67
5. **Maximum**: 69

### Boxplot Analysis:
- The distribution appears to be **slightly left-skewed**, as the whisker on the lower end is longer, indicating more variation in the younger ages.
- Most of the ages (between Q1 and Q3) are clustered in the upper half (56-69), suggesting that world leaders tend to be older.
  
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Here are 5 related questions:
1. What is the interquartile range (IQR) of the data?
2. How would an outlier be detected in this boxplot?
3. What does the skewness of the data tell us about the age of leaders?
4. Could a histogram provide additional insights about this distribution?
5. How would the median age of leaders compare to the mean age?

**Tip**: The median is often a better measure than the mean when dealing with skewed data, as it isn't influenced by extreme values.

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. 
Data: 68, 66, 67, 59, 56, 59, 66, 41, 44, 57, 68, 69, 48, 65, 67

Learn how to calculate the five-number summary and construct a boxplot for the ages of world leaders at their inauguration. The data reveals insights about the distribution of ages and highlights a slightly left-skewed distribution. Suitable for students in Grades 9-12.

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