Finding the (not) median from a histogram

Question

This question is related to How to find median from a histogram?

A common problem is to estimate a median from a histogram, where 50% of the numbers are below the median, and 50% are above.

I would like to do this, but for some fraction other than 50%. I don't know if this is still called the median, or if it has some other name. (let's call it the Fractian for the purposes of this question).

I would like to estimate the value where f% of the numbers are below the value, and (100-f)% are above the value:

For example, here I am showing an estimate of the 33% fractian in these three histograms:

score 1 · Answer 1 · answered Nov 18 '20 at 23:58

1

No, it is certainly NOT called the median! Determining some other value is just a matter of finding where P(x) is equal to whatever fraction you want. And how you do that depends on the probability function itself!

answered Nov 18 '20 at 23:58

user247327

18,710

Thank you, but how do I do that. I don't know the probability function, I just have the array of numbers. – Rocketmagnet Nov 19 '20 at 08:21
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If you "have the array of numbers" then you have the probability! – user247327 Nov 19 '20 at 17:29

Finding the (not) median from a histogram

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