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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 …

  2. 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) …

  3. "Difference of the means" vs "mean of differences"

    Nov 4, 2024 · To put it very simply, you use the mean of differences, when there is a natural pairing between your 2 groups. eg you give people a new toothpaste to try out and you …

  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 …

  5. How to calculate `mean` and `sd` of lognormal distribution based …

    May 29, 2020 · Lognormal distribution as below: estimate meanlog 6.0515 sdlog 0.3703 How to calculate the mean and sd of this distribution?

  6. 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 ...

  7. mean + 95 % confidence interval versus boxplots - Cross Validated

    Feb 10, 2022 · Mean with 95% CI will give you almost the same, but the data must have a normal distribution and you don't get information about quartiles and outliers? Any advantages of …

  8. Empirical relationship between mean, median and mode

    The mean, the median, and the mode or maximum-ordinate are marked by bb, cc and aa, respectively, and as soon as the curves were drawn, a remarkable relation manifested itself …

  9. 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 ...

  10. 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 …