Merits and demerits of step deviation in statistics
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_________Merits_______
⏩It is rigidly defined and free from any ambiguity.
⏩Its calculation is based on all the observations of a series and it cannot be correctly calculated ignoring any item of a series.
⏩It strictly follows the algebraic principles, and it never ignores the + and – signs like the mean deviation.
⏩It is capable of further algebraic treatment as it has a lot of algebraic properties.
⏩It is used as a formidable instrument in making higher statistical analysis viz.: correlation, skewness, regression and sample studies, etc.
⏩It is not much affected by the fluctuations in sampling for which is widely used in testing the hypotheses and for conducting the different tests of significance viz. : test, t2 test etc.
⏩In a normal distribution, X¯ ± 1 covers 68.27% of the values for which it is called a standard measure of dispersion.
⏩It exhibits the scatter of dispersion of the various items of a series form its arithmetic mean and thereby justifies its name as a measure of dispersion.
⏩It enables us to make a comparative study of the two, or moiré series, and to tell upon their consistency, or stability through calculation of the important factors viz. co-efficient of variation, variance etc.
______Demerits_____
⏩It is not understood by a common man.
⏩Its calculation is difficult as it involves many mathematical models and processes.
⏩It is affected very much by the extreme values of a series in as much as the squares of deviations of big items proportionately bigger than the squares of the smaller items.
⏩It cannot be used for comparing the dispersion of two, or more series given in different units.
⏩It is rigidly defined and free from any ambiguity.
⏩Its calculation is based on all the observations of a series and it cannot be correctly calculated ignoring any item of a series.
⏩It strictly follows the algebraic principles, and it never ignores the + and – signs like the mean deviation.
⏩It is capable of further algebraic treatment as it has a lot of algebraic properties.
⏩It is used as a formidable instrument in making higher statistical analysis viz.: correlation, skewness, regression and sample studies, etc.
⏩It is not much affected by the fluctuations in sampling for which is widely used in testing the hypotheses and for conducting the different tests of significance viz. : test, t2 test etc.
⏩In a normal distribution, X¯ ± 1 covers 68.27% of the values for which it is called a standard measure of dispersion.
⏩It exhibits the scatter of dispersion of the various items of a series form its arithmetic mean and thereby justifies its name as a measure of dispersion.
⏩It enables us to make a comparative study of the two, or moiré series, and to tell upon their consistency, or stability through calculation of the important factors viz. co-efficient of variation, variance etc.
______Demerits_____
⏩It is not understood by a common man.
⏩Its calculation is difficult as it involves many mathematical models and processes.
⏩It is affected very much by the extreme values of a series in as much as the squares of deviations of big items proportionately bigger than the squares of the smaller items.
⏩It cannot be used for comparing the dispersion of two, or more series given in different units.
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