# Questions tagged [means]

In probability and statistics, mean and expected value are used synonymously to refer to one measure of the central tendency either of a probability distribution or of the random variable characterized by that distribution. For a data set, refers to a central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values.

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### Law of unconscious statistician without measure theory

I am studying the theory of probability with 'Jaynes style', i.e. not using all the theoretical substratum of measure theory and Lebesgue integral. I would like to understand if there exists in this '...
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### Creating a new mean

I was wondering: are there some necessary criteria to be respected and fulfilled for creating a new statistical mean? This question came up to my mind while studying arithmeticl mean, gometric mean ...
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### How does one find the expected value of the Conway base-13 function $f:\mathbb{R}\to\mathbb{R}$, when restricted to $f:[0,1]\to[0,1]$?
Main Question: Using the Lebesgue measure, what is the expected value of the Conway base-13 function $f:\mathbb{R}\to\mathbb{R}$, when restricted to $f:[0,1]\to[0,1]$? Attempt: I’m not sure what the ...