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 examples (e.g., Harmonic mea...
"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 means ]. While the …
Why is Standard Deviation preferred over Absolute Deviations from the …
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) and (3).
How do I interpret mean absolute error (MAE) or mean absolute ...
Apr 29, 2020 · For example, I am predicting a score that can have value from 0 to 100. Lets assume MAPE = 10 for one case. In other case MAE = 10. How can I interpret it in layman words? Does it …
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 someone is using a …
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 deviation" …
Does a "Normal Distribution" need to have mean=median=mode?
Sep 17, 2018 · I would like to know your professor's exact wording. In principle a normal distribution has mean, median and mode identical (but so do many other distributions) and has skewness 0 and (so …
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 the samples? Do they …
probability - Why are mean 0 and standard deviation 1 distributions ...
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 away.
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 different …