June 1999, p.649 for a discussion of related issues. The numbers are 9-digit floating point values and differ only in the last decimal place. 10000000.20000010 Stdc alg. Our meanc2 does yield the exact result. The stdc3 algorithm also makes a small improvement.
More mathematical research is needed to further improve the algorithms for standard deviation.
R. F. Ling, JASA, vol 69, p.859, 1974. R. F. Ling, JASA, vol 69, p.859, 1974. R. F. Ling, JASA, vol 69, p.859, 1974. R. F. Ling, JASA, vol 69, p.859, 1974.