The Interquartile Range (IQR) is the measure of the spread of the middle 50% of a data set. It is calculated as:

$\text{IQR} = Q_3 - Q_1$

Given values:

• $Q_1 = 50$
• $Q_3 = 110$

Calculation:

$\text{IQR} = Q_3 - Q_1 = 110 - 50 = 60$

Final Answer:

The interquartile range (IQR) is 60.

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Related Questions:

1. How do quartiles divide a data set, and why are they useful?
2. What does the interquartile range tell us about the data set?
3. How does IQR help identify outliers in a data set?
4. What are the steps to calculate quartiles if the data set is provided?
5. Can you explain the difference between IQR and the range of the data?

Tip:

The IQR is resistant to outliers because it focuses only on the middle 50% of the data, making it a robust measure of spread.