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coefficient of quartile deviation is = (q3-q1)/(q3+q1)
(q3-q1)/2
The data is divided into four equal parts by quartiles. The first quartile (Q1) marks the 25th percentile, the second quartile (Q2) is the median or 50th percentile, and the third quartile (Q3) represents the 75th percentile. These quartiles help to understand the distribution of the data by segmenting it into four intervals, each containing approximately 25% of the observations.
Quartile Deviation (QD)The quartile deviation is half the difference between the upper and lower quartiles in a distribution. It is a measure of the spread through the middle half of a distribution. It can be useful because it is not influenced by extremely high or extremely low scores. Quartile Deviation is an ordinal statistic and is most often used in conjunction with the median.why we calculating quartile deviation?
The semi interquartile range is a measure for spread or dispersion. To find it you have to subtract the first quartile from Q3 and divide that by 2, (Q3 - Q1)/2