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 - 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 ...
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 …
How does the expected value relate to mean, median, etc. in a non ...
Ok, so the question should technically be "how does the expected value relate to the mean, median etc. of data drawn randomly from a particular probability distribution?" I'm looking for …
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 …
Standard Error vs. Standard Deviation of Sample Mean
Remember that the sample mean x¯ x is itself a random variable. So the first formula tells you the standard deviation of the random variable x¯ x in terms of the standard deviation of the original …
mean - Is it correct to use plus or minus symbol before standard ...
Apr 21, 2015 · I have represented standard deviation as "±SD" before in publications. But I like to have opinions on this. Is it appropriate to use the notation '±' with SD ? Or ...
What does the size of the standard deviation mean?
Sep 8, 2015 · Obviously the meaning of the standard deviation is its relation to the mean, and a standard deviation around a tenth of the mean is unremarkable (e.g. for IQ: SD = 0.15 * M). …
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 …