The interquartile range (IQR) is a measure of statistical dispersion, representing the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset. It describes the range of the middle 50% of the data. Calculating this value in a spreadsheet program like Excel involves identifying these quartile values and then subtracting Q1 from Q3. For instance, if a dataset’s Q3 is 75 and Q1 is 25, the IQR is 50, indicating the central half of the data spans a range of 50 units.
Determining this statistical measure offers a robust understanding of data spread, especially when outliers are present. Unlike the total range, the IQR is not easily influenced by extreme values, making it a more reliable indicator of central tendency in skewed datasets. Historically, its calculation has been a cornerstone of descriptive statistics, providing a valuable tool for data analysis in various fields such as finance, healthcare, and scientific research. By highlighting the central data spread, it enables more insightful comparisons and predictions.