Final answer:
The standard deviation of a variable, s, can never be zero. When the standard deviation is zero, there is no spread, meaning that all the data values are equal to each other. If the standard deviation is larger than zero, it indicates that the data values are spread out from the mean, exhibiting variation.
Step-by-step explanation:
The standard deviation of a variable, s, can never be zero.
The standard deviation, s or o, is either zero or larger than zero. When the standard deviation is zero, there is no spread, meaning that all the data values are equal to each other. If the standard deviation is larger than zero, it indicates that the data values are spread out from the mean, exhibiting variation.