If I have a normally distributed data with mean and variance, can I get the exact value of the maximum and the minimum ? I know that 95% of the data is within 2 standard deviation of the mean but I tested it with randomly generated data and the minimum and maximum are obtained from this rule were not correct.
I followed this YouTube video
here
It states that
minimum = mean - 2 * standard deviation
maximum = mean + 2 * standard deviation
but I tested with random sample drawn from normal distribution and it is not correct
2026-04-05 17:34:30.1775410470
How do I estimate the minimum and the maximum values of normally disributed data
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