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no it is not possible because you have to take the square of error that is (x-X)2. the square of any number is always positive
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Improved answer:
It is not possible to have a negative standard deviation because:
SD (standard deviation) is equal to the square of V (variance).
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Can standard deviation be a negative?
No. Standard deviation is the square root of a non-negative number (the variance) and as such has to be at least zero. Please see the related links for a definition of standard deviation and some examples.
Is it possible that in standard normal distribution standard deviation known and mean unknown?
it is possible to distribute standard deviation and mean but you dont have to understand how the mouse runs up the clock hicorky dickory dock.
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
When is a t test better than a z score?
When you don't have the population standard deviation, but do have the sample standard deviation. The Z score will be better to do as long as it is possible to do it.
What are the assumptions of standard deviation?
The standard deviation is the standard deviation! Its calculation requires no assumption.
What can cause standard deviation to be negative?
Standard deviation can never be negative.
Can standard deviation and variance be negative?
No. Neither the standard deviation nor the variance can ever be negative.
Would the mean and standard deviation be negative if the set has only negative values?
The mean would be negative, but standard deviation is always positive.
Can standard deviation be a negative?
No. Standard deviation is the square root of a non-negative number (the variance) and as such has to be at least zero. Please see the related links for a definition of standard deviation and some examples.
How do you know if a z score is positive or negative?
A negative Z-Score corresponds to a negative standard deviation, i.e. an observation that is less than the mean, when the standard deviation is normalized so that the standard deviation is zero when the mean is zero.
What if the standard deviation is negative?
There is a calculation error.
Can The standard deviation of a distribution be a negative value?
No. The standard deviation is not exactly a value but rather how far a score deviates from the mean.
Is it possible that the standard deviation is less than one?
Yes, a standard deviation can be less than one.
Is it possible for the mean and standard deviation to be equal?
Yes.
Is it possible that in standard normal distribution standard deviation known and mean unknown?
it is possible to distribute standard deviation and mean but you dont have to understand how the mouse runs up the clock hicorky dickory dock.
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
Can the standard deviation or variance be negative?
No, a standard deviation or variance does not have a negative sign. The reason for this is that the deviations from the mean are squared in the formula. Deviations are squared to get rid of signs. In Absolute mean deviation, sum of the deviations is taken ignoring the signs, but there is no justification for doing so. (deviations are not squared here)
