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...

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 …

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).

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 …

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 …

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

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 …

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 …

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.

When the mean and the median are different, data distribution is said to be skewed. In the example you mentioned, the median (162) is larger than the mean (129), which means there are more …