co efficient of quartile deviation
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Quartile deviation 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

Quartile Deviation and its Coefficient
Quartile Deviation
Quartile deviation is based on the lower quartile Q1Q1 and the upper quartile Q3Q3. The difference Q3−Q1Q3−Q1 is called the inter quartile range. The difference Q3−Q1Q3−Q1 divided by 22 is called semi-inter-quartile range or the quartile deviation. Thus
Q.D=Q3−Q12Q.D=Q3−Q12
The quartile deviation is a slightly better measure of absolute dispersion than the range, but it ignores the observations 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. This is called sampling fluctuation, and it is not a popular measure of dispersion. The quartile deviation calculated from the sample data does not help us to draw any conclusion (inference) about the quartile deviation in the population.
Coefficient of Quartile Deviation
A relative measure of dispersion based on the quartile deviation is called the coefficient of quartile deviation. It is defined as:
Coefficient of Quartile Deviation
CoefficientofQuartileDeviation=Q3−Q12Q3+Q12=Q3−Q1Q3+Q1CoefficientofQuartileDeviation=Q3−Q12Q3+Q12=Q3−Q1Q3+Q1
It is a pure number free of any units of measurement. It can be used for comparing the dispersion

Quartile Deviation and its Coefficient
Quartile Deviation
Quartile deviation is based on the lower quartile Q1Q1 and the upper quartile Q3Q3. The difference Q3−Q1Q3−Q1 is called the inter quartile range. The difference Q3−Q1Q3−Q1 divided by 22 is called semi-inter-quartile range or the quartile deviation. Thus
Q.D=Q3−Q12Q.D=Q3−Q12
The quartile deviation is a slightly better measure of absolute dispersion than the range, but it ignores the observations 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. This is called sampling fluctuation, and it is not a popular measure of dispersion. The quartile deviation calculated from the sample data does not help us to draw any conclusion (inference) about the quartile deviation in the population.
Coefficient of Quartile Deviation
A relative measure of dispersion based on the quartile deviation is called the coefficient of quartile deviation. It is defined as:
Coefficient of Quartile Deviation
CoefficientofQuartileDeviation=Q3−Q12Q3+Q12=Q3−Q1Q3+Q1CoefficientofQuartileDeviation=Q3−Q12Q3+Q12=Q3−Q1Q3+Q1
It is a pure number free of any units of measurement. It can be used for comparing the dispersion
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if one set of data has a largest coefficient of quartile devitation then another set then that data set interquartile. is dispersion Greater
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