A sample with a standard deviation of zero indicates that all the values in that sample are identical; there is no variation among them. This means that every observation is the same, resulting in no spread or dispersion in the data. Consequently, the mean of the sample will equal the individual values, as there is no deviation from that mean.
The lowest value that standard deviation can be is zero. This occurs when all the data points in a dataset are identical, meaning there is no variation among them. In such cases, the standard deviation, which measures the dispersion of data points around the mean, indicates that there is no spread.
Because the average deviation will always be zero.
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.
A standard deviation of zero means that all the data points are the same value.
No. The average of the deviations, or mean deviation, will always be zero. The standard deviation is the average squared deviation which is usually non-zero.
A sample with a standard deviation of zero indicates that all the values in that sample are identical; there is no variation among them. This means that every observation is the same, resulting in no spread or dispersion in the data. Consequently, the mean of the sample will equal the individual values, as there is no deviation from that mean.
The lowest value that standard deviation can be is zero. This occurs when all the data points in a dataset are identical, meaning there is no variation among them. In such cases, the standard deviation, which measures the dispersion of data points around the mean, indicates that there is no spread.
There's no valid answer to your question. The problem is a standard deviation can be close to zero, but there is no upper limit. So, I can make a statement that if my standard deviation is much smaller than my mean, this indicates a low standard deviation. This is somewhat subjective. But I can't make say that if my standard deviation is many times the mean value, that would be considered high. It depends on the problem at hand.
Because the average deviation will always be zero.
Standard deviation shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.
no
Its zero dummy
The standard deviation must be greater than or equal to zero.
If the standard deviation of 10 scores is zero, then all scores are the same.
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.
No. Variance and standard deviation are dependent on, but calculated irrespective of the data. You do, of course, have to have some variation, otherwise, the variance and standard deviation will be zero.