0
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.
!
Still curious? Ask our experts.
Chat with our AI personalities
Ross
Blake
JordanAdd your answer:
Earn +20 pts
What would it mean if a standard deviation was calculated to equal 0?
A standard deviation of zero means that all the data points are the same value.
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 a standard deviation of a sample be equal to a standard deviation of a population?
Yes
Why use standard deviation and not average deviation?
Because the average deviation will always be zero.
What is the perfect standard normal distribution?
The standard normal distribution is a subset of a normal distribution. It has the properties of mean equal to zero and a standard deviation equal to one. There is only one standard normal distribution and no others so it could be considered the "perfect" one.
