Tagged Questions

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

22 views

Probability of $n$ numbers picked from set to have greater mean than set

If we have (N) varying non-negative numbers , with a mean equal to X, and a median less than X, if we pick (n) unique numbers from the set, what is the formula for the probability that the mean of ...
18 views

Formula for the weighted median

I am looking for mathematical notation (not computer code) for the following simple scenario: I have three numbers: 6, 7 and 2. I wish to find the weighted median where the weights are say, 20, 10, ...
33 views

Statistics. How to find the median of two other medians?

I got median of 226 and another median of 304. Now the question is how to find the overall median? Averaging them is not the correct answer.
14 views

Geometric median (or Fertmat-Webber problem), including continuous case

For a finite set $X\subset \mathbb R^n$ the geometric median is defined as the point in $\mathbb R^n$ for which the sum of distances to all points of $X$ attains its minimum. Here is a wiki article: ...
21 views

Area of triangle constructed from the medians of other triangle

We have triangle ABC of area P. Is it possible to compute the area of a triangle with sides "made" from medians of the triangle ABC in terms of P I'm looking for some hints maybe,
31 views

non-linearity of median - proof

I'd like to show counterexamples for: a. $med(X+Y) = med(X) + med(Y)$ b. $med(aX+b) = a\cdot med(X) + b$. Showing that "a" is not correct: Let $X, Y$ be independent random variables with ...
Suppose we have a set of data $A = \{a_1, a_2, \dots, a_n\}$ and $B = \{b_1, b_2, \dots, b_n \}$. So there are $2n$ elements in total. Further suppose the median of $A$ and $B$ is $a$ and $b$, ...