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Is it true that the standard deviation can equal zero in a data set?
The standard deviation is a measure of how much variation there is in a data set. It can be zero only if all the values are exactly the same - no variation.
Can standard deviation equal zero?
Standard deviation can only be zero if all the data points in your set are equal. If all data points are equal, there is no deviation. For example, if all the participants in a survey coincidentally were all 30 years old, then the value of age would be 30 with no deviation. Thus, there would also be no standard deviation.A data set of one point (small sample) will always have a standard deviation of zero, because the one value doesn't deviate from itself at all.!
How does standard deviation of 0 affect statistical significance?
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.
Can standard deviation be zero?
Yes, but only in the case where all numbers in your sample are the same. If you attempt to use a zero standard deviation in most statistical analyses, you will get an error message. Your sample has shown no variation so no inferences can be made to the general population.
If all students in a class scored 100 on an exam what is the standard deviation?
Standard deviation is 0.
