# Questions tagged [median]

The median is the value below which half the data or probability distribution lies - when the sample size is odd, the median is the 'middle' value of an ordered sample.

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### How generate random data that satisfy specific constraints such as having specific median? in R [closed]

In general, how can I simulate data that exactly satisfies a set of constraints? I'm in need of generating a set of random numbers, which conform to a given median (not mean), and also fall within ...
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### Approximating the median of a $\Gamma(\alpha,1)$ distribution with $0<\alpha<1$

Is there a good approximation (or useful bounds) for the median $\nu_\alpha$ of a $\Gamma(\alpha,1)$ distribution with $0<\alpha<1$? I have only been able to find things like Berg & ...
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### Statistical test for preference data through average differences or is other method more suitable?

I need your help. I'm designing a questionary and there I want test which version the people prefere. Which of the following methods is better and which statistical test for significance in each ...
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### Best measure of central of tendency

I just started learning stats a few weeks ago well my question is that as we know that the mean, median, and mode is the central tendency of the data and its suggested that we shouldn't go with only ...
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### Interpretation of boxplot overlaps

Let's assume that I have the boxplot below that shows fraction of hits for a query. I'm trying to understand if there are any meaningful differences for each type (x,y) and for each category (A-D). ...
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### Dividing data by median of the data

I am reading a paper and the authors wrote: "Finally, each column was divided by the median value of the corresponding column to remove systemic deviation" My question is: How does doing this ...
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### Existence of a Smoothed Median Function

The median of a finite set of data depends on the data in a continuous, but non-smooth way; this can be demonstrated by considering the median of the data set $\{ 0, 1, x \}$ as $x$ varies. I wanted ...
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### How to calculate the probability that the median exceeds a certain value?

Given the pdf $f(x)=\begin{cases}2x&\text{0<x<1}\\0 & \text{otherwise}\end{cases}$. What is the probability that the sample median based on a random sample of size 3 drawn from the ...
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### Why median is NA for some of the group outcomes in survival analysis?

I'm trying to do survival analysis using the Followup information, patient_vital_status and the expression of gene. I'm using like below: ...
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### Real (not rounded) Lower and Upper limits of groups of frequency distribution and Median for infinitely continuous data

From here on page 5: https://www.pbarrett.net/techpapers/percentiles.pdf So how can both be correct – yet seem to be more appropriate under different conditions? The clue is spread throughout the ...
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### With few respondents on a 1 to 10 scale, is it better to use a weighted mean or the median?

I have survey data where ~20 respondents replied to some questions on a scale of 1 to 10. For the most part, none of the distributions are Gaussian. A set of questions look to find out a participants ...
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### Are median values numeric or ordinal?

I'm trying to set up the input data that I'd feed into my DL model and for the simplicity, I'm thinking of plugging in only the min/max/average values of the original data. (This is necessary for my ...
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### Calculate variance without calculating the mean

Can we calculate the variance without using the mean as the 'base' point?
I have observations of the profit $y_{it}$ for several firms, noted $i$, over time $t$. For each firm, I compute the mean of $y$ over the years and call it: $\bar{y_i}$. Then I substract this firm-...