%0 Journal Article %T Camparison of Numerically Stability of Two Algorithms for the Calculation of Variance %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %A Rostami, D %D 2010 %\ 09/01/2010 %V 21 %N 3 %P - %! Camparison of Numerically Stability of Two Algorithms for the Calculation of Variance %K Computational statistics %K Round off error %K Error Analysis %R %X 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. %U https://jsciences.ut.ac.ir/article_21083_6f77c247cc221e6cbf42374b5cb7f5f8.pdf