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Again, in the case of a complex distribution of a variable with respective frequencies, it is not much easy to calculate the value of Range correctly in the above way. Therefore, the result can only be influenced with changes in those two values, not by any other value of the variable. Range = (highest value – lowest value) of the variable.įor determining Range of a variable, it is necessary to arrange the values in an increasing order.

We thus express the magnitude of Range as: The extent of dispersion increases as the divergence between the highest and the lowest values of the variable increases. It is measured just as the difference between the highest and the lowest values of a variable. Range: The simplest and the easiest method of measuring dispersion of the values of a variable is the Range. And finally, under the Relative measure, we have four other measures termed as Coefficient of Range, Coefficient of Variation, Coefficient of Quartile Deviation and the Coefficient of Mean Deviation. Under the Absolute measure we again have four separate measures, namely Range, Quartile Deviation, Standard Deviation and the Mean Deviation. In the Algebraic method we split them up into two main categories, one is Absolute measure and the other is Relative measure. The following are thus unhe­sitatingly considered as important characteristics for an ideal measure of dispersion: Yule and Kendall is well accepted, complete and comprehensive in nature as it includes all the important characteristics for an ideal measure of dispersion.Īccording to them, it should be based on all the given observations, should be readily comprehensible, fairly and easily calculable, be affected as little as possible by sampling fluctuations and amenable to further algebraic treatments. In this context, we think the definition given by Prof. While going in detail into the study of it, we find a number of opinions and definitions given by different renowned personalities like Prof. More precisely, it measures the degree of variability in the given observation on a variable from their central value (usually the mean or the median).

The statisticians here prescribe for an well-known concept “dispersion” or the scatteredness or variability of the values of the variable usually from their arithmetic mean.