A standard deviation of zero means that all numbers in a data set are identical to the mean, indicating no variation exists within the set; for example, a set like 5, 5, 5, 5, 5 or 0, 0, 0, 0, 0 would both have a standard deviation of zero.
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Do you know what the σ of 0 means?Added:
Has anyone ever told you what the standard deviation of zero means? So, what does the standard deviation of zero mean?
This means that any variation from the mean is going to be zero. So, any number in your set of numbers is always going to be the mean. So, this could be 5 5 5 5 5 and so on. Or it could be 0 0 0 0 0 and so on.
And it literally can be any number as long as it's all the same, then the standard deviation of your set of numbers is zero.
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