Function to calculate lower and upper bounds for which at least 75% of data
points of a distribution lie within ±2SD of the mean using Chebyshev's inequality.
Usage
chebyshev(vec)
Value
It outputs the lower and upper bound of Chebyshevs 75% range and the
lower and upper value of the range of the observed (measured) distribution.
Arguments
vec
The vector containing the values of the data set.
References
Bienayme I. Considerations a l appui de la de couverte d
laplace. Comptes Rendus de l Acade mie des Sciences 1853; 37: 309–324.
. Chebyshev P. Des valeurs moyennes. Journal de Mathematiques Pures .
Appliqee 1867; 2(12): 177–184s