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Questions tagged [harmonic-mean]

The harmonic mean is a kind of mean (or average) for positive scalar data. The harmonic mean can be expressed as the reciprocal of the arithmetic mean of the reciprocals. See https://en.wikipedia.org/wiki/Harmonic_mean

The harmonic mean of n numbers $x_1 \dots x_n, x_i > 0$ is:

$H = \frac{n}{\sum{\frac{1}{x_i}}}$

Perhaps the most common use of H is when you are averaging rates or averages.

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Weighted harmonic mean of rates expressed as decimals

Wikipedia defines the weighted harmonic mean of a set of rates as follows: $$H=\frac{\sum\limits_{i=1}^n w_i}{\sum\limits_{i=1}^n\frac{w_i}{x_i}}=\left(\frac{\sum\limits_{i=1}^n w_ix_i^{-1}}{\sum\limits_{i=1}^n w_i}\right)^{-1}$$ It then proceeds to…
voncat
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Recovering Sum of Observations Given Harmonic Mean

I think I know the answer to this, but just wanted to confirm. If we are given the number of observations in a dataset (n) and the arithmetic mean (m), we can easily solve for the total sum of all observations by multiplying m*n However, if we are…
NB3
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