Q: How is standard deviation useful?

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The standard deviation is the standard deviation! Its calculation requires no assumption.

The standard deviation of the population. the standard deviation of the population.

The standard deviation of a distribution is the average spread from the mean (average). If I told you I had a distribution of data with average 10000 and standard deviation 10, you'd know that most of the data is close to the middle. If I told you I had a distrubtion of data with average 10000 and standard deviation 3000, you'd know that the data in this distribution is much more spread out. dhaussling@gmail.com

The standard deviation is 0.

Information is not sufficient to find mean deviation and standard deviation.

Standard deviation is the square root of the variance.

The standard deviation in a standard normal distribution is 1.

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.

You need more than one number to calculate a standard deviation, so 9 does not have a standard deviation.

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

difference standard deviation of portfolio

Standard deviation can never be negative.