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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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Related questions

Relation between mean and standard deviation?

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


What is the difference between standard deviation and mean?

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


What is the difference between standard error of mean and standard deviation of means?

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 quartile deviation is 24. find mean deviation and standard deviation?

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


Difference between standard deviation and mean devition?

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,


A standard normal distribution has a mean of and standard deviation of?

Mean 0, standard deviation 1.


What is the mean and standard deviation for the standard normal curve?

Mean = 0 Standard Deviation = 1


How is the mean related to standard deviation?

Mean and standard deviation are not related in any way.


Can standard deviation be greater than mean?

Standard deviation can be greater than the mean.


What does one standard deviation mean?

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.


Is the standard deviation best thought of as the distance from the mean?

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.


Is the standard deviation dependent on the mean?

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.