The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles. Quartiles divide a rank-ordered data set into four equal parts.
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It is the inter-quartile range. The lower quartile is an observation such that a quarter of the observations are lower than it. The upper quartile is defined analogously. The IQR is the difference between the upper and lower quartiles.
IQR = Inter Quartile RangeIQR = Inter Quartile RangeIQR = Inter Quartile RangeIQR = Inter Quartile Range
The IQR gives the range of the middle half of the data and, in that respect, it is a measure of the variability of the data.
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It has no meaning. In statistics, if you have a set of observations, the lower quartile (Q1) is the value such that a quarter of the [number of] observations are smaller and three quarters are larger. The upper quartile, Q3, is defined similarly as the value such that a quarter of the observations are larger. The interquartile range, is the distance between these two: IQR = Q3 - Q1.
Communitive means of, or belonging to, a community. It has no meaning in math. Communative does not mean anything - in math or elsewhere.