To see how wide spread the results are. If the average (mean) grade for a certain test is 60 percent and the standard deviation is 30, then about half of the students are not studying. But if the mean is 60 and the standard deviation is 5 then the teacher is doing something wrong.
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The standard deviation of the population. the standard deviation of the population.
Standard deviation of 0 can only be attained if all observations are identical. That is, the variable in question has just one possible value so statistical considerations are irrelevant.
The standard deviation is 0.
The standard deviation in a standard normal distribution is 1.
You need more than one number to calculate a standard deviation, so 9 does not have a standard deviation.