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Standard error is 22.4. 555 is 2.37 standard errors from expectation. A deviation that big would occur ~1.8% of the time by chance. A little less often than hitting a one outer on the river. So far, meh.
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While this is true, it may give heart to the nutters.
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I see no hope of avoiding that. Here is a normal probability plot. (The points furthest from the straight line are those that deviate most from a normal distribution.)