Round-Off Errors in Mediaeval Tables

: The distribution of error is considered when a function y of x is rounded, and when x is uniformly distributed. The example discussed is y - sin x, and it is thought that the round-off error might be nearly uniformly distributed. The non-uniformity is very small, and the sample size needed to detect this by the A2 statistic is examined. The study is of interest in the examination of ancient and mediaeval tables. Distribution of error, Goodness-of- fit, Tables of functions.