Which "mean" to use and when? - Cross Validated
So we have arithmetic mean (AM), geometric mean (GM) and harmonic mean (HM). Their mathematical formulation is also well known along with their associated stereotypical …
Why is Standard Deviation preferred over Absolute Deviations …
Jan 7, 2025 · 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) …
mean - "Averaging" variances - Cross Validated
May 6, 2017 · Context is everything here. Are these theoretical variances (moments of distributions), or sample variances? If they are sample variances, what is the relation between …
What is the significance of 1 SD? - Cross Validated
Nov 2, 2024 · What do you mean by "the derivative at 1 SD is +- 1"? Derivative of what? If you mean of a density plot, then what distribution? The normal? Different distributions will have …
What is implied by standard deviation being much larger than the …
What does it imply for standard deviation being more than twice the mean? Our data is timing data from event durations and so strictly positive. (Sometimes very small negatives show up …
What is the difference between "mean value" and "average"?
The mean you described (the arithmetic mean) is what people typically mean when they say mean and, yes, that is the same as average. The only ambiguity that can occur is when …
Will the mean of a set of means always be the same as the mean …
Jan 13, 2015 · 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 …
Empirical relationship between mean, median and mode
The the "mean," the "mode," and the "median" have all distinct characters important to the statistician. It also appears to be his first real detailing of of his system of frequency curves.
probability - Why are mean 0 and standard deviation 1 …
The mean of 0 and standard deviation of 1 usually applies to the standard normal distribution, often called the bell curve. The most likely value is the mean and it falls off as you get farther …
How to calculate `mean` and `sd` of lognormal distribution based …
May 29, 2020 · Lognormal distribution as below: estimate meanlog 6.0515 sdlog 0.3703 How to calculate the mean and sd of this distribution?