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Neopythagorean Approaches to Measures of Central Tendency and Dispersion
Ist Teil von
Chance (New York), 2020-01, Vol.33 (1), p.26-29
Ort / Verlag
Abingdon: Taylor & Francis
Erscheinungsjahr
2020
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
Farebrother gives a history lesson on neopythagorean means and measures of dispersion as an alternative to the measures that people use today. He cites the recent article that reported a difficulty in explaining the use of the root mean squared deviation from the mean of a set of observations as a measure of dispersion to groups of prospective primary school teachers. These students have had little difficulty in accepting the arithmetic mean and the median as measures of central tendency and the mean absolute deviation of the observed values from their arithmetic mean and the (semi-) interquartile range as measures of dispersion. While willing to admit the algebraic and computational convenience of the root mean squared deviation of the observed values from their arithmetic mean, they seem to have been reluctant to endorse this function. The ultimate source of the students' problem would seem to be their prompt, acceptance of the arithmetic mean and the median as measures of central tendency.