# Interquartile Range (IQR)
The IQR is the interquartile range. This is the [[Range]] of the middle 50% of your data. IQR is calculated as such:
$(max - median) - (median - min)$
This is because the [[Median]] is the direct center point of the data. So we take the maximum value and subtract that center (the 50%) mark, and that will give us the middle ground which is the 75% mark.
We then take the [[Median]] and subtract the minimum value and that will give us the 25% mark. So now that we have both the 75% & 25% marks we can make these 2 values our new min/max values
$max(x) - min(x)$
and this will give us the interquartile range
The IQR is good for skewed data as it ignores outliers and focuses on the middle of the data
```r
# Written Out:
(max(x) - median(x)) - (median(x) - min(x))
# To get the quantiles themselves:
quantile(x)
# Actual R Function:
IQR(x)
```