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 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 …
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 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 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 …
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 …
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 …
Can mean plus one standard deviation exceed maximum value?
I have mean 74.10 and standard deviation 33.44 for a sample that has minimum 0 and maximum 94.33. My professor asks me how can mean plus one standard deviation exceed the maximum.