# Talk:Interquartile range

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What Q4 stands for in this article? --Piecu 09:41, 7 August 2007 (UTC)

The 4th quartile, the maximum.

## Merge?

Should midhinge be merged into this? And all of the synonyms redirected here? —Preceding unsigned comment added by Belg4mit (talkcontribs) 18:48, 24 October 2007 (UTC)

Eeep, according to its article, the midhinge is the mean of the quartiles, a measure of location, while the IQR is their difference, a measure of scale. That article needs fixing... But yes, after things are set right, it would seem some consolidation here would be a good thing. Baccyak4H (Yak!) 19:01, 24 October 2007 (UTC)

## Data in table

There is something strange with this table

 3 105 Q1 4 107 5 108 6 109 7 110 Q2 (median) 8 112 9 115 Q3 10 116 11 118

While the median is the 7the value, the number of data should be 13. Apparently some data are not shown, but with 13 data Q1 is the the mean of the 3rd and 4th, and Q3 the mean of the 10th and 11th value in the ordering. Nijdam (talk) 19:58, 16 May 2010 (UTC)

I found the original table and restored it. Nijdam (talk) 06:59, 17 May 2010 (UTC)

## Interquartile range of distributions

In the table, what is phi^-1? Also, under 'Interquartile range test for normality', is there a reference, or more importantly, is there an objective way to define "differ substantially", i.e. is there a proper test rule for this that gives probability values? Moo (talk) 16:02, 10 May 2012 (UTC)

Φ−1 is the quantile function (inverse of the cumulative distribution function) of the standard normal distribution. I have found a table for the distribution of the studentized range, but not the studentized interquantile range. For the studentized range, the test is not described as a test of normality, but rather as an indicator of outliers or data problems. The only hits on google for "Interquartile range test for normality" seem to be copies of this article. Melcombe (talk) 20:34, 10 May 2012 (UTC)

## Interquartile range test for normality of distribution

This lsection is incomprehensive. Anyone understanding it, anyone to improve it?? Nijdam (talk) 11:25, 8 April 2013 (UTC)

## The middle 50%

I'm not a big stats guy by any means, but is there any good reason for not simply saying that the interquartile range is the middle 50% of a collection of rank ordered data? That's basically the easiest way to explain it - and how most of us initially understood it - yet instead of writing that here we have a fairly confusing (if technically accurate) description in this article. Namely that it's the "difference between the upper and lower quartiles" or the "25% trimmed mid-range" (which, to my eyes, are simply phrases that say "middle 50%" in a somewhat confusing way).

I ask because not being a big stats guy maybe I've overlooked something. However if not, and it is always the middle 50%, then I think this should be changed for clarity. There's no point in having a technically accurate description if it confuses lay readers. Bandanamerchant (talk) 01:00, 6 January 2014 (UTC)

## "figure 3" caption incorrect?

hello everybody,
is it me, or is the caption to "figure 3" incorrect on several levels?
firstly, there are two figures on that page, and the first one is not referred to as "figure 1",
and secondly, the caption says "Box-and-whisker plot with [...] extreme values, defined as outliers above Q3 + 1.5(IQR) and Q3 + 3(IQR), respectively.", whereas the actual image description says they're standard Q1-1.5(IQR) and Q3+1.5(IQR) whiskers.

--Mnolf (talk) 11:59, 27 January 2014 (UTC)