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Q: If the standard deviation of 10 scores is 0?

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Since the standard deviation is zero, the scores are all the same. And, since their mean is 10, they must all be 10.

T scores are also standardized norm scores, where the mean value is 50 and standard deviation value is 10, in contrast to Z scores where mean value is "0" and standard deviation value is 1. -Rama Reddy Karri

Mean 0, standard deviation 1.

Mean = 0 Standard Deviation = 1

No.

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All the scores are equal

Since the standard deviation is zero, the scores are all the same. And, since their mean is 10, they must all be 10.

T scores are also standardized norm scores, where the mean value is 50 and standard deviation value is 10, in contrast to Z scores where mean value is "0" and standard deviation value is 1. -Rama Reddy Karri

It is not. And that is because the mean deviation of ANY variable is 0 and you cannot divide by 0.

The standard deviation is 0.

The standard deviation for a single observation is 0.

Standard deviation of a single event is 0.

Standard deviation doesn't have to be between 0 and 1.

The smaller the standard deviation, the closer together the data is. A standard deviation of 0 tells you that every number is the same.

The answer depends on the degrees of freedom (df). If the df > 1 then the mean is 0, and the standard deviation, for df > 2, is sqrt[df/(df - 2)].

Mean 0, standard deviation 1.

Mean = 0 Standard Deviation = 1

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