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The boxplot shows the distribution of the highest salaries for municipal employees in a large city, with key salary percentiles marked. Based on the diagram:

- The lower quartile (Q1) is approximately $ 95,000 $.
- The upper quartile (Q3) is approximately $ 100,000 $.

The middle 50% of the salaries, which is the interquartile range (IQR), is the difference between Q3 and Q1:

\[
IQR = Q3 - Q1 = 100,000 - 95,000 = 5,000
\]

Therefore, the width of the interval in which the new employee’s salary will fall is closest to **$5,000**. However, this option is not listed, and **$3,000** (Option B) is the closest available answer.

Would you like more details on how boxplots work or on the specific problem-solving method? Here are 5 questions to further explore this topic:

1. What is a boxplot and how does it visually represent data?
2. How is the interquartile range (IQR) calculated and why is it important?
3. What is the significance of the whiskers in a boxplot?
4. How can outliers affect the interpretation of a boxplot?
5. What other types of plots are useful for visualizing salary distributions?

**Tip:** Always look for the interquartile range (IQR) when asked to find the middle portion of data, as it represents the range between the 25th and 75th percentiles.

A new municipal employee was hired and was told that the salary would be within the middle percent of the current highest salaries. Based on the boxplot, which of the following is closest to the width of the interval in which the new employee’s salary will fall?

Understand how to calculate the interquartile range (IQR) for a boxplot summarizing salaries of municipal employees. Learn to find the width of the interval that covers the middle 50% of the data. Suitable for high school statistics students in Grades 9-12.

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