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The mean deviation for any distribution is always 0 and so conveys no information whatsoever.

The standard deviation is the square root of the variance. The variance of a set of values is the sum of the probability of each value multiplied by the square of its difference from the mean for the set.

A simpler way to calculate the variance is

Expected value of squares - Square of Expected value.

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Q: Distinguish between mean deviation and standard deviation?

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Standard deviation is the variance from the mean of the data.

The mean is the average value and the standard deviation is the variation from the mean value.

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.

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

Mean 0, standard deviation 1.

Mean = 0 Standard Deviation = 1

Standard deviation can be greater than the mean.

Mean and standard deviation are not related in any way.

The mean deviation (also called the mean absolute deviation) is the mean of the absolute deviations of a set of data about the data's mean. The standard deviation sigma of a probability distribution is defined as the square root of the variance sigma^2,

Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.

No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.

Yes. Consider the definition of the standard deviation. It is the square root of the variance from the mean. As a result, it can be said that the standard deviation is dependent on the mean.

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