Q: Why normality is required for standard deviation application?

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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.

When we increase sample size the standard deviation( error) will be decrease and the nagetive skewness is converting to normality. shabirahmad666@rocketmail.com

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

The standard deviation is 0.

The standard deviation in a standard normal distribution is 1.

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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.

When we increase sample size the standard deviation( error) will be decrease and the nagetive skewness is converting to normality. shabirahmad666@rocketmail.com

If it is possible to assume normality, simply convert the desired score to a z-score, and look up the probability for that.

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 is 0.

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

Standard deviation is the square root of the variance.

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.

The standard deviation in a standard normal distribution is 1.

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

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