The **Interquartile Range (IQR)** is calculated as the difference between the third quartile (\(Q_3\)) and the first quartile (\(Q_1\)):

\[
\text{IQR} = Q_3 - Q_1
\]

Given:

\[
Q_1 = 98, \quad Q_3 = 137
\]

So,

\[
\text{IQR} = 137 - 98 = 39
\]

The IQR is 39 mmHg.

This range represents the middle 50% of the systolic blood pressure values in your sample. It is a measure of statistical dispersion and helps in identifying outliers.

Would you like to know how this information could be used, or do you have any other questions?

Here are 5 questions that might further your understanding:

1. How does the IQR relate to the overall spread of the data?
2. What is the significance of a small or large IQR in medical studies?
3. How would you use the IQR to detect outliers?
4. Can the IQR be used to describe the shape of the data distribution?
5. How does the IQR compare to the standard deviation as a measure of variability?

**Tip:** The IQR is especially useful in skewed distributions as it is less affected by extreme values than the range or standard deviation.

Learn how to calculate the Interquartile Range (IQR) in statistics with a detailed explanation and example. This problem involves finding the IQR using the first quartile (Q1 = 98) and the third quartile (Q3 = 137), which is essential in statistical analysis.

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