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  1. 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...

  2. 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).

  3. "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 …

  4. 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 …

  5. What is implied by standard deviation being much larger than the mean?

    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 due to clock

  6. 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 …

  7. 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 ...

  8. 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 …

  9. 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.

  10. What is the difference between Mean Squared Deviation and Variance?

    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 talking …