《九章算术》中的统计学思想探究

《九章算术》是中国历史上最著名的一部数学经典，该书以应用问题求解的形式为成书体例，而这些问题基本都与社会经济有关，因此书中蕴涵了丰富的统计学思想。本文从统计范围和统计思想的角度对书中的统计知识进行了分析，探讨了书中诸如统计分组、抽样推断、线性回归分析及比例关系等统计理论，并据此对当时中国古代统计思想的发展状况进行了研究。

A Study on Statistical Theory in Arithmetic in Nine Sections

Arithmetic in Nine Sections is the most famous arithmetic classical work in Chinese history. The questions in it are most about economy, so there are many statistical ideas in it. This paper analyses its statistical coverage and statistical theory such as the statistical classification, linear regression, sampling deduction and studies the development of statistical idea in Chinese ancient times.