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) …
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 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 …
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 …
Mean absolute deviation vs. standard deviation - Cross Validated
Jan 13, 2014 · 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 …
Explaining Mean, Median, Mode in Layman's Terms
Mar 7, 2016 · How would you explain the concept of mean, median, and mode of a list of numbers and why they are important to somebody with only basic arithmetic skills? Let's not mention …
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?
What is the difference between Mean Squared Deviation and …
Oct 10, 2016 · I also guess that some people prefer using mean squared deviation as a name for variance because it is more descriptive -- you instantly know from the name what someone is …
When does a distribution not have a mean or a variance?
The sample mean and variance will always exist (the sample consists of a finite collection of numbers, for which the sample quantities will be well-defined), it's the things that they estimate …