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if I have some spread over a very small range of binned values, how can I test if the distribution is normal. Basically if it weren't, then the data would be fraud data. Is there a way to calculate something like a probability that the data was not manipulated and is correctly given by the normal distribution?

My data looks like

-3 -2 -1 0 1 2 3

0 1 150 200 150 1 0

I mean there is a too sharp drop and I'm searching for a probability that the data isn't normal.

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# Testing strongly binned data for normality?

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