Statistical Analysis of the Military Census of Bamidbar
By Shalosh B. Ekhad
According to Bamidbar Chapter 1, verses 20-42
The number of men over twenty of the twelve tribes
[Reuven, Shimon, Gad, Yehudah, Issaschar, Zebullon, Efraim, Menasse, Binyamin,
San, Asher, Naftali]
are respectively
[46500, 59300, 45650, 74600, 54400, 57400, 40500, 32200, 35400, 62700, 41500,
53400]
The average number per tribe is:
50295.83333
The standard deviation is
11765.91933
The skewness is
0.3297930417
The kurtosis is
2.410754024
Note that the distribution is platykurtic
The, 5, -th alpha coefficient is:
2.229564410
The, 6, -th alpha coefficient is:
8.097728135
The, 7, -th alpha coefficient is:
11.34334594
The, 8, -th alpha coefficient is:
30.94680241
The, 9, -th alpha coefficient is:
52.46926328
The, 10, -th alpha coefficient is:
125.0781033
The, 11, -th alpha coefficient is:
232.9895709
The, 12, -th alpha coefficient is:
519.0766617
The, 13, -th alpha coefficient is:
1014.720924
The, 14, -th alpha coefficient is:
2182.764234
The, 15, -th alpha coefficient is:
4376.639444
The, 16, -th alpha coefficient is:
9241.307243
The, 17, -th alpha coefficient is:
18782.61101
The, 18, -th alpha coefficient is:
39265.88874
The, 19, -th alpha coefficient is:
80393.46583
The, 20, -th alpha coefficient is:
167159.0445
This ends this fascinating article.
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