The interquartile range is a measure of variability or dispersion in a set of data. It is calculated by finding the difference between the upper and lower quartiles of the data set, and it is often used to summarize the spread of the data. In other words, the interquartile range tells us how much the values in the data set vary from the middle value (or median) of the data.
A very good and simple example for that:
Sure, let's say you have a group of five friends and you want to know how much their ages vary from each other. You ask each of your friends their age, and you write down their ages in order from youngest to oldest: 5, 10, 15, 20, 25. The median age is 15, because it is the middle number in the list. The upper quartile is the group of ages above the median, so it includes the ages 20 and 25. The lower quartile is the group of ages below the median, so it includes the ages 5 and 10. The interquartile range is the difference between the biggest number in the lower quartile (10) and the smallest number in the upper quartile (20), which is 10. This means that the ages of your friends vary by 10 years from the median age of 15.
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