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Q: What is the standard deviation if all data points are different?

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The standard deviation is a measure of how spread out the numbers are. Three points is needed to calculate a statistically valid meaningful standard deviation.

Yes, depending on the data being studied. Standard deviation can be thought of as the magnitude of the average distance between the data points and their mean.

Standard deviation is the square root of the variance. Since you stated the variance is 4, the standard deviation is 2.

A standard deviation of zero means that all the data points are the same value.

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.

The SD is 2.

Standard deviation is a measure of the spread of data.

The standard deviation is a measure of the spread of data.

No, if the standard deviation is small the data is less dispersed.

Standard deviation can only be zero if all the data points in your set are equal. If all data points are equal, there is no deviation. For example, if all the participants in a survey coincidentally were all 30 years old, then the value of age would be 30 with no deviation. Thus, there would also be no standard deviation.A data set of one point (small sample) will always have a standard deviation of zero, because the one value doesn't deviate from itself at all.!

Use %RSD when comparing the deviation for popolations with different means. Use SD to compare data with the same mean.

It means that the individual data points may vary a lot from the average.

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