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The second set of numbers are less variable; the coefficient of variation is halved.

Q: What does it mean if the mean is doubled but the standard deviation is the same?

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no the standard deviation is not equal to mean of absolute distance from the mean

In the same way that you calculate mean and median that are greater than the standard deviation!

Because the standard deviation is one of the two parameters (the other being the mean) which define the Normal curve. The mean defines the location and the standard deviation defines its shape.

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

No, they are rarely the same.

Related questions

Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.

If repeated samples are taken from a population, then they will not have the same mean each time. The mean itself will have some distribution. This will have the same mean as the population mean and the standard deviation of this statistic is the standard deviation of the mean.

no the standard deviation is not equal to mean of absolute distance from the mean

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.

In the same way that you calculate mean and median that are greater than the standard deviation!

Because the standard deviation is one of the two parameters (the other being the mean) which define the Normal curve. The mean defines the location and the standard deviation defines its shape.

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

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

No. The expected value is the mean!

No, they are rarely the same.

If all four numbers are the same, there is no standard deviation. The mean will be equal to all 4 numbers, resulting in a 0 standard deviation. Ex) 5,5,5,5

No.