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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. Difference in Means vs. Mean Difference - Cross Validated

    Apr 29, 2015 · When studying two independent samples means, we are told we are looking at the "difference of two means". This means we take the mean from population 1 ($\\bar y_1$) and …

  3. 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).

  4. 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 …

  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 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 …

  7. 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 …

  8. 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 is always …

  9. 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" …

  10. Mean absolute percentage error (MAPE) in Scikit-learn

    How can we calculate the Mean absolute percentage error (MAPE) of our predictions using Python and scikit-learn? From the docs, we have only these 4 metric functions ...