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      • The arithmetic mean of a series of values x 1, x 2, …, x n {textstyle x_ {1},x_ {2},ldots,x_ {n}} is often denoted by placing an "overbar" over the symbol, e.g. x ¯ {displaystyle {bar {x}}}, pronounced " x {textstyle x} bar".
      en.wikipedia.org/wiki/Notation_in_probability_and_statistics
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  2. A comprehensive collection of the most common symbols in probability and statistics, categorized by function into charts and tables along with each symbol's term, meaning and example.

  3. The vertical bar is often called a 'pipe'. It is often used in mathematics, logic and statistics. It typically is read as 'given that'. In probability and statistics it often indicates conditional probability, but can also indicate a conditional distribution. You can read it as 'conditional on'.

  4. Dec 29, 2023 · In summary, the key differences between the two mean formulas are µ vs. (mu vs. x bar symbols) and N vs. n. In each case, the former relates to the population, while the latter is for the sample mean formula. Summing up values and dividing by the number of items is consistent in both formulas.

  5. Feb 26, 2023 · Depending on the context, the vertical bar in a function could have two different meanings: For example, $P(X=x|Y=y)$ could mean the probability of $X=x$ conditional upon $Y=y$ , where $X$ and $Y$ are random variables and $x$ and $y$ are the corresponding realisation.

  6. Say you have 8 people and you want to pick (choose) 3 of them to form a team. Then the number of different teams you can create is (8 3). The most valuable definition is the following: (z k) = {z (z − 1) ⋯ (z − k + 1) k! = zk k! for integer k ≥ 0, 0 for integer k <0, where z is a complex number.

  7. Jan 30, 2020 · The two arguments of $D_{KL}$ (Kullback-Liebler divergence) are often denoted with the double vertical bars between them instead of a comma, doesn't mean anything special. $\endgroup$ – Ragib Zaman

  8. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).

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