https://r2.erweima.ai/mathbot/image/1726422867304fh2kxshw.jpg

Let's analyze the box plot to answer the questions.

### 1. **Range**:
The range is calculated by subtracting the smallest value (minimum) from the largest value (maximum).

- The minimum value is **40**.
- The maximum value is **120**.

Thus, the range is:
\[
\text{Range} = 120 - 40 = 80
\]

### 2. **Interquartile Range (IQR)**:
The interquartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1).

- From the box plot:
  - The lower quartile (Q1) is approximately **60**.
  - The upper quartile (Q3) is approximately **100**.

Thus, the IQR is:
\[
\text{IQR} = 100 - 60 = 40
\]

### Summary:
- **Range** = 80
- **Interquartile Range (IQR)** = 40

Would you like more details or explanations? 

Here are 5 related questions you might explore next:
1. How is the median calculated from a box plot?
2. What do the whiskers in a box plot represent?
3. How do outliers affect the range and IQR?
4. Can the interquartile range be larger than the range?
5. What is the significance of the interquartile range in data interpretation?

**Tip:** The interquartile range is a good measure of spread because it is not affected by outliers as much as the range is.

Work out the range and the interquartile range of the numbers of legs.

Learn how to calculate the range and interquartile range from a box plot, using the example of centipede leg data. This problem covers essential concepts like the range and interquartile range (IQR) and is perfect for students in Grades 6-8.

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