https://file.aiquickdraw.com/mathbot/file/1727230012569o4al8qkk.jpg

The image is asking for the interquartile range (IQR) of the box plot shown.

To calculate the interquartile range (IQR), you need to subtract the first quartile (Q1) from the third quartile (Q3). The box in the plot represents the data between Q1 and Q3:

- Q1 is the left edge of the box.
- Q3 is the right edge of the box.

From the image, it looks like:
- Q1 is approximately at **7**.
- Q3 is approximately at **13**.

Thus, the interquartile range (IQR) is:

\[
IQR = Q3 - Q1 = 13 - 7 = 6
\]

The interquartile range is **6**.

Do you have any further questions or would you like more details on how to interpret box plots?

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Here are some additional questions to deepen your understanding:
1. How can you identify outliers using the interquartile range (IQR)?
2. What does the interquartile range (IQR) tell you about data spread?
3. How is the median represented in a box plot?
4. How would you calculate the range of the entire dataset from this plot?
5. What are the implications of a small or large IQR in data interpretation?

**Tip:** The IQR is a useful measure of variability and helps in understanding how spread out the middle 50% of your data is.

What is the interquartile range of this box plot?

Learn how to find the interquartile range (IQR) of a box plot. This example shows a step-by-step process, using Q1 and Q3 values from the graph to determine the IQR. Suitable for students in Grades 8-10.

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