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Q: What does a standard deviation of zero indicates?
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Does standard deviation and mean deviation measure dispersion the same?

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.


What is considered a high standard deviation?

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.


Why use standard deviation and not average deviation?

Because the average deviation will always be zero.


In research how to define standard deviation?

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.


What are all the values a standard deviation can take?

The standard deviation must be greater than or equal to zero.


Does a zero standard deviation support data?

no


What is the standard deviation of 3.083065714?

Its zero dummy


If the standard deviation of 10 scores is 0?

If the standard deviation of 10 scores is zero, then all scores are the same.


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 is the s d?

Standard deviation (SD) is a measure of the amount of variation or dispersion in a set of values. It quantifies how spread out the values in a data set are from the mean. A larger standard deviation indicates greater variability, while a smaller standard deviation indicates more consistency.


Does variance and standard deviation assume nominal data?

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.


What set of seven numbers with a mean of 10 and a standard deviation of zero?

[10, 10, 10, 10, 10, 10, 10] has a mean of 10 and a standard deviation of zero.