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Not true that "{1, -1, 1, -1, 1, -1 ...} is clearly normally distributed"

If your pattern contains only 1's and -1s , how can it be normally distributed? Every normal distribution chart I've seen is shaped like a bell ( hence bell shaped curve).

The pattern of alternating 1's and -1s results in a frequency diagram with two vertical , equal height lines , one at +1 and one at -1

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