If the standard deviation of a set of observations is 0, you can conclude:
Question
If the standard deviation of a set of observations is 0, you can conclude:
Solution
If the standard deviation of a set of observations is 0, you can conclude that all the observations in your data set are the same. In other words, there is no variability or dispersion in your data. Every observation is the same exact value. This is because the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation means that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation means that the values are spread out over a wider range. So, a standard deviation of 0 means no spread at all: every value is exactly equal to the mean.
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