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 …
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 …
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 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 …
Standard Error vs. Standard Deviation of Sample Mean
Remember that the sample mean $\bar x$ is itself a random variable. So the first formula tells you the standard deviation of the random variable $\bar x$ in terms of the standard deviation of the …
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 …
mean - "Averaging" variances - Cross Validated
May 6, 2017 · I need to obtain some sort of "average" among a list of variances, but have trouble coming up with a reasonable solution. There is an interesting discussion about the differences …
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). …
How to calculate the mean from bin endpoints and frequencies?
Jun 23, 2021 · What is the best way to describe this situation in statistics, and how to calculate the mean value? At first, I thought about multiplying the mid value of the first row by the number of …