The original Hotelling-Solomons inequality indicates that an upper bound of |mean - median|/(standard deviation) is 1. In this note, we find a new bound depending on the sample size, which is exactly smaller than 1.

翻译：原始的Hotelling-Solomons不等式表明，|均值-中位数|/标准差的上界为1。本文发现了一个依赖于样本量的新界，该界严格小于1。