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So we have arithmetic mean (am), geometric mean (gm) and harmonic mean (hm) I have not taken statistics in a while so i admit i am a bit rusty Their mathematical formulation is also well known along with their associated stereotypical examples (e.g., harmonic mea.
What does it imply for standard deviation being more than twice the mean As for the variance i honestly have no clue Our data is timing data from event durations and so strictly positive
(sometimes very small negatives show up due to clock
The mean is the number that minimizes the sum of squared deviations Absolute mean deviation achieves point (1), and absolute median deviation achieves both points (1) and (3). The above calculations also demonstrate that there is no general order between the mean of the means and the overall mean In other words, the hypotheses mean of means is always greater/lesser than or equal to overall mean are also invalid.
Are these theoretical variances (moments of distributions), or sample variances If they are sample variances, what is the relation between the samples Do they come from the same population If yes, do you have available the size of each sample
If the samples do not come from the same population, how do you justify averaging over the variances?
6 you can just use a standard confidence interval for the mean Estimate meanlog 6.0515 sdlog 0.3703 how to calculate the mean and sd of this distribution? The mean has a proper interpretation outside normal distributions, and it can have problems, such as its vulnerability to outliers (which in some applications is more of a problem than in others) One cannot generally say that the mean should or should not be used if we don't have a normal distribution
It depends on what you are interested in. After calculating the sum of absolute deviations or the square root of the sum of squared deviations, you average them to get the mean deviation and the standard deviation respectively The mean deviation is rarely used. If $\theta=4$ how to you find the mean and variance
My guess was to plug in $4$ of course and then integrate that function from $0$ to infinity
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