0
Intuitively, a standard deviation is a change from the expected value.
For the question you asked, this means that the change in the "results" doesn't exist, which doesn't really happen. If the standard deviation is 0, then it's impossible to perform the test! This shows that it's impossible to compute the probability with the "null" standard deviation from this form:
z = (x - µ)/σ
If σ = 0, then the probability doesn't exist.
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Earn +20 ptsQ: What does is mean when the standard deviation is 0?
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Continue Learning about Statistics
A standard normal distribution has a mean of and standard deviation of?
Mean 0, standard deviation 1.
What is the mean and standard deviation for the standard normal curve?
Mean = 0 Standard Deviation = 1
Is the standard normal distribution has a mean of 1 and standard deviation of 0?
No.
What is true of a standard normal probability distribution aA mean of 0 and a standard deviation of 1 b A mean of 1 and any standard deviation of 1 c Any mean and a standard deviatio?
a is true.
What are the four numbers have the smallest possible standard deviation?
If all four numbers are the same, there is no standard deviation. The mean will be equal to all 4 numbers, resulting in a 0 standard deviation. Ex) 5,5,5,5
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