How do you calculate the interquartile range (IQR) of a data set and why is it important in determining data variability?

To calculate the interquartile range (IQR) of a data set, first arrange the data in ascending order. Divide the data into four equal parts to find the first quartile (Q1) and the third quartile (Q3). The IQR is the difference between Q3 and Q1 (IQR = Q3 – Q1). The IQR is important because it measures the spread of the middle 50% of the data, providing a robust measure of variability that is less affected by outliers compared to the range.

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