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

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

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

the sample mean is used to derive the significance level.

Mean 0, standard deviation 1.

The mean of a distribution gives no information about the standard deviation.

It depends on what the distribution is. In a Normal or Gaussian distribution, the standard deviation is the square root of the mean, so it could be 3.1 but, again, it depends on the distribution.

It is any standardised distribution.

Standard deviation describes the spread of a distribution around its mean.

If the deviation is small ie if the distribution is packed close to the mean.

The mean and standard deviation.

The statement is probably: The mean and standard deviation of a distribution are 55 and 4.33 respectively.

Standard deviation and variance

NO

mean deviation is minimum

The mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.

The mean.The mean.The mean.The mean.

The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.

The mean and standard deviation often go together because they both describe different but complementary things about a distribution of data. The mean can tell you where the center of the distribution is and the standard deviation can tell you how much the data is spread around the mean.

Variance

19

yes

No.

Yes - but the distribution is not a normal distribution - this can happen with a distribution that has a very long tail.

The standard normal distribution has a mean of 0 and a standard deviation of 1.

If repeated samples are taken from a population, then they will not have the same mean each time. The mean itself will have some distribution. This will have the same mean as the population mean and the standard deviation of this statistic is the standard deviation of the mean.