Doesn't require sstats:
A=:6 9 3 1
B=:6 9 3 1 4
l=: 13 :'(i.<.-:#y){y'
r=: 13 :'|.(i.<.-:#y){|.y'
NB. Mid-point and mean thanks to Devon
mp=:-:@<:@#
m=:-:@(+/)@((<. , >.)@mp { /:~)
(<./;([:m l);m;([: m r);>./)A
--T---T---T-T-┐
│1│7.5│4.5│2│9│
L-+---+---+-+--
(<./;([:m l);m;([: m r);>./)B
--T---T-T---T-┐
│1│7.5│4│2.5│9│
L-+---+-+---+--
Linda
-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Joe Bogner
Sent: Tuesday, May 06, 2014 3:54 AM
To: [email protected]
Subject: Re: [Jprogramming] Five Number Summary
From http://webdocs.cs.ualberta.ca/~smillie/Jpage/jsp601.ijs
require 'stats'
Q2=: median
Q1=: [: Q2 ] #~ Q2 > ]
Q3=: [: Q2 ] #~ Q2 < ]
NB. Summaries
five=: <./,Q1,Q2,Q3,>./
five 1 3 4 6 9
1 2 4 7.5 9
On May 6, 2014 12:51 AM, "Kip Murray" <[email protected]> wrote:
> The list 6 9 3 1 has left and right sublists 6 9 and 3 1, the list 6 9 3 1
> 4 has left and right sublists 6 9 and 1 4 . The middle number, if there
is
> one, is not included in the left and right sublists.
>
> You know the median of 6 9 3 1 is the median of 1 3 6 9 which is 4.5, and
> the median of 6 9 3 1 4 is the median of 1 3 4 6 9 which is 4.
>
> The "fourths" f1 and f4 of a list y are respectively the medians of the
> left sublist and right sublist of /:~ y .
>
> Write a verb to find John Tukey's "five number summary" minimum , f1 ,
> median, f3 , maximum of a list y.
>
> --Kip Murray
>
>
> --
> Sent from Gmail Mobile
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>
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