A lower quartile i s the mediaon of the lower half of a data set. A data set is divided up into different quartiles.
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The upper quartile, for a set of ordinal observations, is a value such that a quarter of the observations have a greater value. Similarly, the lower quartile is a value such that a quarter of the observations have a smaller value.
Interquartile Range, or IQR
The lower quartile.
The lower quartile is the line that represents the left-hand edge of the "box", in the box and whisker plot.
In a data sample, the purpose of quartile deviation is a way to measure data dispersion instead of using the range. The quartile deviation is found by subtracting the lower quartile from the upper quartile, and dividing this result by two.