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interquartile

The interquartile range (IQR) is a statistical measure that represents the middle 50% of a dataset. It is calculated by finding the difference between the third quartile (Q3) and the first quartile (Q1). Quartiles divide a dataset into four equal parts, with Q1 being the median of the lower half and Q3 being the median of the upper half.

To find the IQR, you first need to order your dataset from lowest to highest. Then, identify Q1 and Q3. The IQR is calculated using the formula:

[ \text{IQR} = Q3 - Q1 ]

This measure is particularly useful for identifying outliers and understanding the spread of the data, as it focuses on the central portion of the dataset, minimizing the influence of extreme values.

If you’re interested in implementing this in Python, there are tutorials available that guide you through the process of calculating the IQR using Python programming techniques ¹.

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