The interquartile mean is a measure of central tendency. While all values in a data set are used to calculate the mean, only the interquartile range -- the central portion of a data set -- is used to ...
Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set. When is the interquartile range useful? You can calculate the interquartile range by hand or with the help of our interquartile range calculator below.
In descriptive statistics, the interquartile range (IQR) is a measure of statistical dispersion, which is the spread of the data. [1] The IQR may also be called the midspread, middle 50%, fourth spread, or H‑spread.
The interquartile range is the middle half of the data that lies between the upper and lower quartiles. In other words, the interquartile range includes the 50% of data points that are above Q1 and below Q3.
Interquartile Range (IQR): How to Find and Use It - Statistics by Jim
The Interquartile Range (IQR) tells us how spread out the middle 50% of the data is. It is less affected by extreme values and gives a better idea of how tightly or loosely the central data points are grouped.
The interquartile range of a dataset, often abbreviated IQR, is the difference between the first quartile (the 25th percentile) and the third quartile (the 75th percentile) of the dataset. In simple terms, it measures the spread of the middle 50% of values. IQR = Q3 – Q1.
The interquartile range measures the spread of your middle 50% of data, making it useful for spotting outliers and comparing datasets robustly.