Author/Authors :
Rostamy، D. نويسنده Department of Mathematics, Faculty of sciences, University of Imam Khomeini International University, Qazvin, Islamic Republic of Iran , , Yaghesh، E. نويسنده Department of Mathematics, Faculty of sciences, University of Imam Khomeini International University, Qazvin, Islamic Republic of Iran ,
Abstract :
In descriptive statistics, there are two computational algorithms for determining the variance S2, of a set of observations :
Algorithm 1: S2= - ,
Algorithm 2: S2= ,
where . It is interesting to discuss, which of the above formulas is numerically more trustworthy in machine numbers sets. I this paper, based on total effect of rounding error, we prove that the second Algorithm is better than the first Algorithm. Numerical experiments show the efficiency of Algorithm 2.
