Tuesday, December 14, 2010

The Second pack

The second pack is a set of 100 cards that have number that are 10 * normal(0,1) distributed. It is important to come up with a distribution that sum is zero so that it is neutral. The example below has the additional restriction that there are no zero cards, thought this is not really necessary.

15, 12, 8, -20, 15, -5, 4, 4, 8, -4, -5, 8, -11, -1, 16, 2, 7, -15, 5, 12, 21, -2, -10, -11, -14, 11, -7, -4, 11, -14, -3, 6, -5, -6, -25, -8, 20, -17, 19, 4, 3, 2, 21, -11, 1, -10, -15, 14, 4, 10, -5, -19, 1, -9, -13, 15, -6, -7, -4, 7, -8, 16, 11, -2, 16, 10, 5, 14, -16, -1, 7, -1, -19, -13, 8, 14, 4, 7, 7, -4, -3, -4, -9, -6, -15, 6, -7, -6, -1, 2, 9, -15, 9, -11, 4, -3, -5, 6, 10, -16

The distribution of the sum of six cards provides a zero mean and a standard deviation of around 25.

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