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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BL and CM are medians of a triangle ABC right angled at A. Prove that $ 4(BL^2 +CM^2 )=5BC^2 $

BL and CM are medians of a triangle ABC right angled at A. Prove that $ 4(BL^2 +CM^2 )=5BC^2 $ My attempt: I have found out till $ 4BL^2 =4AB^2 +(AC)^2 $. I am not getting how to move forward. Any help will be appreciated. Any help will be…
user877930
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select n points out of m points all present on x-axis such that the sum of distances from each m point to its nearest nth selected point is minimum

The actual question is we are given 'm' areas and 'n' atm where n<=m. We have to station these 'n' atms in these 'm' areas so that the sum of distances between the areas and their nearest atm is minimum. eg: let there be 10 areas at x-axis at points…
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Understanding Median Value in the BoxPlot for Profit/Loss Made in Stock Market?

I have multiple stocks and I took the PROFIT/LOSS for the stocks and plotted it using a box plot (using python seaborn library). Interestingly the median is seen as 0. So does this means that most of stock is making no-profit/no-loss? I do know…
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Difference in the concept of medians

Sorry, this is a question that I couldn't answer yet. Let $f(x) = \frac{x}{x+5} $ I would like to find the median for $f(x)$ over the interval [0,5]. One way to find the median is to take the middle value of x over [0,5]. In my case, it would be…
Jacob
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how to derive median from conditional median?

Let $m_{y|x}(y|x)=e^x$ denote the conditional median of $Y$ given $X$. What is the approach to derive unconditional median of $Y$---- $m_y(y)$? Any relationship between the conditional and unconditional medians? Any suggestion will be appreciated.
Vincent
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Median of a set

If the length of a set is odd then I know that the index of the median is $\frac{(n+1)}{2}$ but I'm not sure what it is when the length of the set is even. Some places I find say that it is still $\frac{(n+1)}{2}$ but some say that it is…
Dan
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Seeking simple justification of median position formula

I am teaching an introductory unit on descriptive statistics. One topic is finding the median of a raw set of data. I know the formula for finding the position of the median is $(n+1)/2$. My trouble: I cannot think of a simple clear justification of…
Tim Thayer
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Median Question

Suppose that the median age of 45 directors is 41, the median age of 85 art directors is 65, and the median age of 325 school teachers is 40. Could you obtain the overall median age for all of them? Calculate it or explain why not?
Chance
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Is it possible to find Median of set contains string value as well as Null value?

I am doing one calculation on Median and AFSIK about Median, it can be calculated by a "set of Finite set of Numbers". Now if a set has following value as: A = {3,4.56, 2, 11, JAMES, , Joy, 54, 9} Then how will Median of such set can be…
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Finding Median in a distribution

What does it mean by "find all medians"? I thought there could only be one median. Also, how would you approach solving this question? Suppose $P(X = x) = \displaystyle\tfrac{x}{21}$ for $x = 1, 2, 3, 4, 5, 6.$ Find all medians of this…
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