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 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 …
"Difference of the means" vs "mean of differences"
Nov 5, 2024 · One takes the pairwise difference of each point of data [ the mean of the differences ] and the other takes mean A and subtracts it from mean B [ the difference of the …
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 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 …
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 …
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 …
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 …
mean - Difference between standard error and standard deviation
Nov 3, 2017 · I'm struggling to understand the difference between the standard error and the standard deviation. How are they different and why do you need to measure the standard ...