It is the smallest 25% (quarter) observations in a set of observations.
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That's everything from 0 to 25 percentile. In other words, you sort the data, then take the lowest quarter of them.
The lowest 25% of values.
lower quartile(this is for math)
A quartile refers to one of four groups comprising 25% of the sample, each.
the IQR is the third quartile minus the first quartile.
If a set of data are ordered by size, then the lower quartile is a value such that a quarter of the data are smaller than it. The upper quartile is a value such that a quarter of the data are larger than it. Interquartile means between the quartiles.