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. 56 57 62 48 64 43 48 43 55 50 57 68 65 49 58 The five-number summary is. III.

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**Educational Website Content: Homework 3, Chapter 3**

**Topic:** Five-number Summary and Boxplot Construction

**Exercise 3.5.9:**

*Objective:* Analyze the given data representing the ages of world leaders on their day of inauguration. Your tasks are to:

1. Determine the five-number summary.
2. Construct a boxplot for the data.
3. Comment on the shape of the distribution.

**Data Set:**
- Ages: 56, 57, 62, 48, 64, 43, 48, 63, 55, 50, 57, 68, 65, 49, 58

**Instructions:**

- **Five-number Summary:** Identify the minimum, first quartile (Q1), median, third quartile (Q3), and maximum from the data set.
- **Boxplot Construction:** Use the five-number summary to draw a boxplot, a visual representation of the distribution of the data.
- **Shape of the Distribution:** Analyze whether the data is symmetric, skewed left, or skewed right based on the boxplot.

**Input Area:**
Enter your results for the five-number summary in the provided fields and draw the boxplot using appropriate tools. After completing the task, use the "Check Answer" button to verify your work.

**Note:** You have 2 remaining attempts to solve this exercise.

**Progress Tracker:**
- Question: 17 of 17 (14 complete)
- HW Score: 61.11%

For more details, visit the full homework assignment on [mathxl.com](http://mathxl.com).
Transcribed Image Text:**Educational Website Content: Homework 3, Chapter 3** **Topic:** Five-number Summary and Boxplot Construction **Exercise 3.5.9:** *Objective:* Analyze the given data representing the ages of world leaders on their day of inauguration. Your tasks are to: 1. Determine the five-number summary. 2. Construct a boxplot for the data. 3. Comment on the shape of the distribution. **Data Set:** - Ages: 56, 57, 62, 48, 64, 43, 48, 63, 55, 50, 57, 68, 65, 49, 58 **Instructions:** - **Five-number Summary:** Identify the minimum, first quartile (Q1), median, third quartile (Q3), and maximum from the data set. - **Boxplot Construction:** Use the five-number summary to draw a boxplot, a visual representation of the distribution of the data. - **Shape of the Distribution:** Analyze whether the data is symmetric, skewed left, or skewed right based on the boxplot. **Input Area:** Enter your results for the five-number summary in the provided fields and draw the boxplot using appropriate tools. After completing the task, use the "Check Answer" button to verify your work. **Note:** You have 2 remaining attempts to solve this exercise. **Progress Tracker:** - Question: 17 of 17 (14 complete) - HW Score: 61.11% For more details, visit the full homework assignment on [mathxl.com](http://mathxl.com).
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