23 questions linked to/from Which "mean" to use and when?
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Arithmetic and Geometric Means [duplicate]

The arithmetic and geometric averages provide a summary of historical performance. They are both unique in calculation and contain biases (as stated by my lecturer). My question is where exactly are ...
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Is there a name for “product divided by arithmetic mean”? [duplicate]

Consider two rates, $0 < x, y < 1$. How would one call $z$, if $z = \frac{x*y}{(x+y)/2} = \frac{2*x*y}{x+y}$? Is there a relationship with other means, such as the Inequality of arithmetic ...
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What is the difference between “mean value” and “average”?

Wikipedia explains: For a data set, the mean is the sum of the values divided by the number of values. This definition however corresponds to what I call "average" (at least that's what I remember ...
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Combining probabilities/information from different sources

Lets say I have three independent sources and each of them make predictions for the weather tomorrow. The first one says that the probability of rain tomorrow is 0, then the second one says that the ...
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What are the different types of averages?

I know there are three types of averaging methods in statistics: Mean, Mode and Median. Are there any other type of averaging methods that statisticians use? How do I know which method is best for ...
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“Averaging” variances

I need to obtain some sort of "average" among a list of variances, but have trouble coming up with a reasonable solution. There is an interesting discussion about the differences among the three ...
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In calculating the F-measure with precision and recall, why is the harmonic mean used?

The article for F-measure in Wikipedia says: The traditional F-measure or balanced F-score (F1 score) is the harmonic mean of precision and recall: \$F_1=2\times\frac{precision \times recall}{...
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Just “take the average” they say. It's not that straightforward, right?

I have an acquaintance who does not study statistics and doesn't understand that summing data and dividing by the number of data is a summary statistic, i.e. that information is lost. For example, ...
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How can I get an average of percentages?

I can't seem to find an answer to my exact question. I want find how much on average a stock or the stock market goes up during an up week (or month) and down during a down week (or month). Let's say ...
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geometric mean and the normal distribution

If you have data that are sampled from a normal distribution, what is the relationship between the arithmetic and geometric means? Would it ever make sense to report the geometric mean instead of the ...
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Arithmetic vs Geometric Mean

There are verbal suggestions everywhere on when one should use a geometric average or when an arithmetic average should be preferred, but I can't find any formal statistical treatment of this question....
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What kind of mean to use for a mix of negative and positive percent values?

What sort of mean can I use in calculating the average of the deviations of actuals from a forecast, which are in percent. The data look(s) like this: ...