# Questions tagged [median]

For questions about the numerical value separating the higher half of a data sample, a population, or a probability distribution, from the lower half.

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### Is the median of a discrete distribution with an infinite population a computable number?

For that matter, I ask for any quantile. I know that taking larger and larger sample sizes can get me closer to the true median, but does this satisfy the definition of Computable number?
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### Median (and consequently the mean) of an evenly-spaced list [closed]

Why is it the case you can find the median (and consequently the mean) of an evenly-spaced list by taking the mean of opposite terms? Where opposite refers to opposite positions (e.g. first and last). ...
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### Find the density of the median of $2n$ i.i.d $U([0,1])$ random variables

As a part of a probability problem I found the PDF and CDF of the $i^{th}$ order statistic in a sample. When told that $$X_1,...,X_n{\sim}^{i.i.d}F$$ where F is countinuous, so I got to the conclusion ...
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### Convention of finding Quartiles

Find the quartile deviation for the data $$\begin{array}{|c|c|c|c|} \hline x& 2 & 3 & 4&5&6 \\ \hline f& 3 & 4 & 8&4&1\\ \hline\end{array}$$ My Attempt  \...
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### Area of a triangle as a function of its bisectors.

Area of a triangle can be easily calculated using only its 3 medians is it also possible to find its Area as a function of its 3 bisectors? Lots of people tried to find the solution and oddly ...
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### Find median of a combination of tables.

Values in List $P$ are distinct from values in List $Q$. List $R$ consists of all the values in list $P$ and all the values in list $Q$. Find the median of list $R$. My logic: Here the total number ...
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### Mean deviation gives better results when deviations are taken from the median, why?

The mean deviation gives better resuls when deviations are taken from the median instead from the mean, because the sum of the deviations from the median is less than the sum of the deviations from ...
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### Find global median from medians of subgroups

Supposte I have a list of numbers $\{x_1, \ldots, x_N\}$, not necessarily ordered, and I divide it in subsets $\{ \{x_1,\ldots,x_{d_1}\}, \{x_{d_1+1},\ldots,x_{d_2}\}, \ldots \}$, where $d_n$ is the ...
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### How to derive formula of variance of sample median?

I wonder how to derive the formula of variance of median of sample. I searched it for a day but couldn't find, so I'm asking help here. You may just notice me the link of it. I saw the result form is ...