What does the interquartile range (IQR) measure?  
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The square root of the variance
The average deviation from the mean
The range of the middle 50% of the data
The difference between the maximum and minimum values

The interquartile range (IQR) measures:

**The range of the middle 50% of the data.**

The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1), i.e., IQR = Q3 - Q1. It is a measure of statistical dispersion that shows the spread of the middle half of a dataset, effectively filtering out outliers and providing a more robust understanding of data variability.

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Would you like more details or have any questions? Here are some related questions:

1. How do you calculate the first and third quartiles of a dataset?
2. Why is the interquartile range a better measure of spread than the range?
3. How does the IQR help identify outliers in a dataset?
4. What is the relationship between IQR and box plots?
5. Can the IQR be negative? Why or why not?

**Tip:** The IQR is especially useful when comparing the spread of different datasets, as it is not affected by extreme values or outliers.

What does the interquartile range (IQR) measure?

Discover how the interquartile range (IQR) measures the spread of the middle 50% of the data. Learn the key statistical concepts and formulas, including IQR = Q3 - Q1, to understand data variability and outlier detection. Suitable for students in Grades 8-10.

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