Open AccessEffect of rounding on expected value and standard deviation
Author(s) -
Anton Cedilnik,
Katarina Košmelj
Publication year - 2005
Publication title -
metodološki zvezki
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.127
H-Index - 7
eISSN - 1854-0031
pISSN - 1854-0023
DOI - 10.51936/urfp1574
Subject(s) - rounding , standard deviation , mathematics , value (mathematics) , expected value , random variable , variable (mathematics) , statistics , mathematical analysis , computer science , operating system
We prove that the rounded expected value of the rounded random variable differs from the expected value of the original random variable by less then 2δ, where δ is the distance between two neighbouring rounded numbers. The same conclusion holds for standard deviation. Hence, in practice the influence of rounding to expected value and standard deviation is almost negligible.