r - Relationship between standard error of the mean and standard deviation - Cross Validated
The samples are 'not normally disributed'. Don't they have to be to use pnorm? The question is asking about the distribution of sample means. The standard deviation of the mean (SD) is the most commonly used measure of the spread of values in a distribution. SD is calculated as the square root of the. The variance and the closely-related standard deviation are measures of how is computed as the average squared deviation of each number from its mean.
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