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How standard deviation and Mean deviation differ from each other?
There is 1) standard deviation, 2) mean deviation and 3) mean absolute deviation. The standard deviation is calculated most of the time. If our objective is to estimate the variance of the overall population from a representative random sample, then it has been shown theoretically that the standard deviation is the best estimate (most efficient). The mean deviation is calculated by first calculating the mean of the data and then calculating the deviation (value - mean) for each value. If we then sum these deviations, we calculate the mean deviation which will always be zero. So this statistic has little value. The individual deviations may however be of interest. See related link. To obtain the means absolute deviation (MAD), we sum the absolute value of the individual deviations. We will obtain a value that is similar to the standard deviation, a measure of dispersal of the data values. The MAD may be transformed to a standard deviation, if the distribution is known. The MAD has been shown to be less efficient in estimating the standard deviation, but a more robust estimator (not as influenced by erroneous data) as the standard deviation. See related link. Most of the time we use the standard deviation to provide the best estimate of the variance of the population.
4.43.63.84.54.84.1 mean and standard deviation?
For the numbers 4, 43, 63, 84, 54, 84 and 1, the standard deviation is 34.20943896 and the mean is 47.57142857.
What is Normal of Standard Normal Probability Distribution?
with mean of and standard deviation of 1.
What is the distribution with a mean of 0 and a standard deviation of 1 called?
standard normal
A population that consists of 500 observations has a mean of 40 and a standard deviation of 15 A sample of size 100 is taken at random from this population The standard error of the sample mean equa?
The formula for calculating the standard error (or some call it the standard deviation) is almost the same as for the population; except the denominator in the equation is n-1, not N (n = number in your sample, N = number in population). See the formulas in the related link.
