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# 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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### Generate weighted median from activity per timespan

I have a set of data where I have a number of observations over the course of a year per individual. Generally speaking, I want to know the average activeness of the individuals that participated in ...
• 97
6 votes
2 answers
324 views

### Calculate mu and sigma of a log normal distribution from p50 and p99 in javascript

I'd like to generate realistic sample data in javascript for monetary donations. I've chosen to model them as following the log normal distribution. I think a fairly intuitive way for a lay person to ...
2 votes
1 answer
55 views

### mean of medians consistently differs from median

Disclaimer: my first question here. Background of the problem: I want to compare two distributions (n1 ~ 500 and n2 ~ 700), not normal and with different variances, but roughly unimodal. I decided to ...
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2 votes
0 answers
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### Are there known bounds for the median of a negative binomial distribution based on its parameters?

This seems like an innocent enough question to me, but I could not find a satisfactory answer when I did some digging. The binomial distribution has a closed form median and the Poisson distribution ...
3 votes
2 answers
183 views

### Distribution of medians of triplicate samples taken from Gaussian distribution

My Monte Carlo simulation seems to show that the standard deviation of the medians of triplicate samples taken from the Gaussian distribution approaches 2/3 of the SD of the original distribution. ...
0 votes
0 answers
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### Mean Index of deprivation score

I've created a python function which can return a subset of the 2019 Index of Multiple Deprivation scores representing the LSOA areas within a defined radius of a certain latitude and longitude. Here'...
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2 votes
3 answers
83 views

### Does sample size affect the value of median?

I have two groups of A and B. Group A consists of 11 people and group B of 35 people. The results of one behavioral outcome measure is higher for the group B while logically it should be the other way ...
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9 votes
3 answers
408 views

### When does positive skew imply median<mean?

For a random variable $X$, the skew is defined as $S(X):={\frac {E\overline{X}^3}{(E\overline{X}^2)^{3/2}}}$, where $\overline{X}=X-EX$. It is often claimed that positive (resp. negative) skew implies ...
2 votes
0 answers
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11 votes
1 answer
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### Deviation between Mean and Median

If I have a mean of 15 and median of 10, is there a term for the difference between these? Can you use this difference of 5 for anything valuable statistically?
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8 votes
3 answers
1k views

### Median of a set with even number of elements

Consider the following sample of numbers: 9,18,11,14,15,17,10,69,11,13 Since there are 10 elements, the median of the set would be (13+14)/2 = 13.5 However, is it wrong to say that median is one of 13 ...
4 votes
1 answer
109 views

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1 answer
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### Why is the pseudomedian better than the median in a Wilcoxon test?

The wilcox.test function in R calculates the pseudomedian and a confidence interval when conf.int=TRUE. In this question, ...
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### Kruskal-Wallis Test - medians are same but result is significant?

I have run a Kruskal Wallis test in my dataset and have a significant overall result (p<<0.001). However, since the medians for my categories are the same, I can't work out the direction of the ...
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