{"title":"Mean values in historical studies","authors":"Olga D. Dashkovskaya","doi":"10.18255/1996-5648-2024-1-60-69","DOIUrl":null,"url":null,"abstract":"The article examines the possibilities of using averages in historical researches. The basic principles of the application of these mathematical indicators are considered, the main errors of researchers arising from non-compliance with these rules are identified. On the basis of historical material, such averages as arithmetic mean, mode and median are analyzed in detail, their calculation in simple and non-standard cases (if statistical indicators are presented in the form of groupings, closed or open intervals). The possibilities of the «Microsoft Excel» program for calculating averages are demonstrated. Finally, the indicators of variation are characterized, allowing to reflect the individual values of the units of the statistical population.","PeriodicalId":396792,"journal":{"name":"Vestnik Yaroslavskogo gosudarstvennogo universiteta im. P. G. Demidova. Seriya gumanitarnye nauki","volume":" 26","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik Yaroslavskogo gosudarstvennogo universiteta im. P. G. Demidova. Seriya gumanitarnye nauki","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18255/1996-5648-2024-1-60-69","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

The article examines the possibilities of using averages in historical researches. The basic principles of the application of these mathematical indicators are considered, the main errors of researchers arising from non-compliance with these rules are identified. On the basis of historical material, such averages as arithmetic mean, mode and median are analyzed in detail, their calculation in simple and non-standard cases (if statistical indicators are presented in the form of groupings, closed or open intervals). The possibilities of the «Microsoft Excel» program for calculating averages are demonstrated. Finally, the indicators of variation are characterized, allowing to reflect the individual values of the units of the statistical population.
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历史研究中的平均值
文章探讨了在历史研究中使用平均数的可能性。文章考虑了应用这些数学指标的基本原则,指出了研究人员因不遵守这些规则而产生的主要错误。在历史资料的基础上,详细分析了算术平均数、模式和中位数等平均数,以及它们在简单和非标准情况下的计算(如果统计指标以分组、封闭或开放区间的形式呈现)。演示了 "Microsoft Excel "程序计算平均数的可能性。最后,还介绍了变异指标的特点,以便反映统计人口单位的个别值。
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