1. Neopythagorean Approaches to Measures of Central Tendency and Dispersion.
- Author
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Farebrother, Richard William
- Subjects
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HISTORY of mathematics , *IRRATIONAL numbers , *GOLDEN ratio , *DISPERSION (Chemistry) , *PRIMARY school teachers - Abstract
On the other hand, the mean defined in the 11th row was presumably omitted by mistake, since it may also be obtained by applying the seventh mean to the neopythagorean triple 1 / I z i , 1 / I y i , 1 / I x i . (5) the root mean square mean is formed as the geometric mean of the (unweighted) arithmetic mean (1) and the self-weighted arithmetic mean (4): To extend this scheme to include the median, assume that I n i = 2 I k i - 1 is odd and that the xi values have been arranged in increasing order I x i SB [1] sb <= I x i SB [2] sb <= ... I x i SB [ sb SB I n i sb SB ] sb . In much the same way as the arithmetic mean (1) leads naturally to the mean absolute deviation from the arithmetic mean as a measure of dispersion so the median leads naturally to the median absolute deviation from the median. [Extracted from the article]
- Published
- 2020
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