https://file.aiquickdraw.com/mathbot/file/17268472607000l3e80mj.jpg

The box plot in the image shows a range of values on a number line, which allows us to determine the interquartile range (IQR). The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3), representing the spread of the middle 50% of the data.

From the plot:
- The lower boundary of the box (Q1) is at **2**.
- The upper boundary of the box (Q3) is at **10**.

To find the interquartile range:
\[
\text{IQR} = Q3 - Q1 = 10 - 2 = 8
\]

Thus, the interquartile range is **8**. The correct answer is **a. 8**.

Would you like further details on box plots or have any questions about this?

Here are 5 related questions:
1. What does the whiskers in a box plot represent?
2. How do you calculate the median from a box plot?
3. What is the significance of the interquartile range in data analysis?
4. How do outliers appear in a box plot?
5. How does the interquartile range help in understanding data distribution?

**Tip:** The interquartile range is resistant to extreme values, making it a robust measure of spread compared to the range.

Given the box plot above, what is the interquartile range?

Learn how to calculate the interquartile range (IQR) from a box plot with this detailed example. The problem involves identifying Q1 and Q3 and using the IQR formula. Suitable for students in Grades 6-8.

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