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Quartile Deviation : It is based on the lower quartile and the upper quartile. The difference is called the inter quartile range. The difference divided by is called semi-inter-quartile range or the quartile deviation.Thus. The quartile deviation is a slightly better measure of absolute dispersion than the range.But it ignores the observation on the tails. If we take difference samples from a population and calculate their quartile deviations, their values are quite likely to be sufficiently different.t is based on the lower quartile and the upper quartile. The difference is called the inter quartile range. The difference divided by is called semi-inter-quartile range or the quartile deviation. Thus. The quartile deviation is a slightly better measure of absolute dispersion than the range.
The IQR is used to build box plots, simple graphical representations of a probability distribution. For a symmetric distribution (where the median equals the midhinge, the average of the first and third quartiles), half the IQR equals the median absolute deviation (MAD). The median is the corresponding measure of central tendency. The IQR can be used to identify outliers (see below). The quartile deviation or semi-interquartile range is defined as half the IQR. Algorithm. Quartiles are calculated recursively, by using median.