The relationship between the mean, median, and mode with grouped data

被引：5

作者：

Zheng, Shimin ^{[1
]}

Mogusu, Eunice ^{[1
]}

Veeranki, Sreenivas P. ^{[2
]}

Quinn, Megan ^{[1
]}

Cao, Yan ^{[3
]}

机构：

[1] East Tennessee State Univ, Dept Biostat & Epidemiol, Johnson City, TN USA

[2] Univ Texas Med Branch, Dept Prevent Med & Community Hlth, Galveston, TX 77555 USA

[3] East Tennessee State Univ, Coll Nursing, Ctr Nursing Res, Johnson City, TN USA

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 09期

关键词：

Asymmetric unimodal distribution; Grouped data; Mean; Median; Mode; INEQUALITY; DISTRIBUTIONS;

D O I：

10.1080/03610926.2015.1081948

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

It is widely believed that the median is usually between the mean and the mode for skewed unimodal distributions. However, this inequality is not always true, especially with grouped data. Unavailability of complete raw data further necessitates the importance of evaluating this characteristic in grouped data. There is a gap in the current statistical literature on assessing mean-median-mode inequality for grouped data. The study aims to evaluate the relationship between the mean, median, and mode with unimodal grouped data; derive conditions for their inequalities; and present their application.

引用

页码：4285 / 4295

页数：11

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