Open Access Open Access  Restricted Access Subscription Access

Re-exploring Chebyshev’s Inequality

G. G. Djolov


This article examines the popular Chebyshev inequality, with the aim to address some shortcomings in the complexity of the way the inequality is generally handled in statistical teachings and practice. As part of this a simplified derivation of the inequality is offered that has prospective uses as to how it is thought to students and practitioners of statistics. This is achieved by developing an intuitive understanding of the inequality through the application of accessible algebraic methods drawing on the familiar notions of the standard deviation, the range, and elementary solving techniques.


Chebyshev’s inequality, range, standard deviation

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.