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The mean deviation about the mean, for any distribution, MUST be 0.

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Q: How do you derive the mean deviation about the mean of the pareto type 1 distributions?
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What do the variance and the standard deviation measure?

They are measures of the spread of distributions about their mean.


What is the mean absolute deviation of 8590687579?

None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0


What is the purpose of mean absolute deviation?

Various answers to this question are possible.The mean absolute deviation (MAD) is a measure of the dispersion or spread of a sample or a population. So one of its purposes is as a measure.As such it's an alternative to the standard deviation that is said to be more robust in the sense that the sample MAD can be used to provide more accurate estimates of the population dispersion because it is less sensitive to outliers.Beyond this, some distributions that have no standard deviations do have MADs; for example, the Cauchy. This means that the dispersions of virtually all distributions can be compared in terms of their MADs.Please see the link.


Is the mean deviation the mean of the actual values of the deviation from the?

No. The mean deviation is 0. Always.


How do you calculate mean average deviation?

The mean average deviation is the same as the mean deviation (or the average deviation) and they are, by definition, 0.

Related questions

How do you derive mean deviation from mean for pareto distribution?

The total deviation from the mean for ANY distribution is always zero.


How do you derive the mean of generalised pareto distribution?

To derive the mean of generalized Pareto distribution you must be good with numbers. You must be good in Calculus, Algebra and Statistics.


What do the variance and the standard deviation measure?

They are measures of the spread of distributions about their mean.


Why is the sample standard deviation used to derive the standard error of the mean?

the sample mean is used to derive the significance level.


When referring to the normal probability there is not just one there is a family of distributions?

A family that is defined by two parameters: the mean and variance (or standard deviation).


If two distributions have exactly the same mean and standard deviation must their histograms have the same shape If they have the same five-number summary must their histograms have the same shape?

No, and no. Think about two skewed distributions that are mirrored across the mean so that one is right and one is left. they have the same mean and standard deviation, but are opposite. Also, the 5 number summary does not affect a histogram


How does one interpret a standard deviation which is more than the mean?

Standard deviation is a measure of the dispersion of the data. When the standard deviation is greater than the mean, a coefficient of variation is greater than one. See: http://en.wikipedia.org/wiki/Coefficient_of_variation If you assume the data is normally distributed, then the lower limit of the interval of the mean +/- one standard deviation (68% confidence interval) will be a negative value. If it is not realistic to have negative values, then the assumption of a normal distribution may be in error and you should consider other distributions. Common distributions with no negative values are gamma, log normal and exponential.


What is mean deviation and why is quartile deviation better than mean deviation?

What is mean deviation and why is quartile deviation better than mean deviation?


What is the mean absolute deviation of 8590687579?

None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0


What is the purpose of mean absolute deviation?

Various answers to this question are possible.The mean absolute deviation (MAD) is a measure of the dispersion or spread of a sample or a population. So one of its purposes is as a measure.As such it's an alternative to the standard deviation that is said to be more robust in the sense that the sample MAD can be used to provide more accurate estimates of the population dispersion because it is less sensitive to outliers.Beyond this, some distributions that have no standard deviations do have MADs; for example, the Cauchy. This means that the dispersions of virtually all distributions can be compared in terms of their MADs.Please see the link.


Is the mean deviation the mean of the actual values of the deviation from the?

No. The mean deviation is 0. Always.


How do you calculate mean average deviation?

The mean average deviation is the same as the mean deviation (or the average deviation) and they are, by definition, 0.