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Q: Does standard deviation have to be between 0 and 1?

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If n = 1.

It is 7.062

Yes. If the variance is less than 1, the standard deviation will be greater that the variance. For example, if the variance is 0.5, the standard deviation is sqrt(0.5) or 0.707.

The variance is the square of the standard deviation.This question is equivalent tocan s = s^2The answer is yes, but only in two cases.If the standard deviation is 1 exactly, then so is the variance.If the standard deviation is 0 exactly, then so is the variance.If the standard deviation is anything else, then it is not equal to the variance.You are not likely to find these special cases in practical problems, so from a practical sense, you should think that they are generally not equal.

A large standard deviation means that the data were spread out. It is relative whether or not you consider a standard deviation to be "large" or not, but a larger standard deviation always means that the data is more spread out than a smaller one. For example, if the mean was 60, and the standard deviation was 1, then this is a small standard deviation. The data is not spread out and a score of 74 or 43 would be highly unlikely, almost impossible. However, if the mean was 60 and the standard deviation was 20, then this would be a large standard deviation. The data is spread out more and a score of 74 or 43 wouldn't be odd or unusual at all.

Related questions

Mean = 0 Standard Deviation = 1

Mean 0, standard deviation 1.

No.

standard normal

It is called a standard normal distribution.

a is true.

It is any standardised distribution.

standard deviation only measures the average deviation of the given variable from the mean whereas the coefficient of variation is = sd\mean Written as "cv" If cv>1 More variation If cv<1 and closer to 0 Less variation

The standard deviation in a standard normal distribution is 1.

The standard normal distribution has a mean of 0 and a standard deviation of 1.

The standard deviation in a standard normal distribution is 1.

The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.

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