Hopefully this will be more readable. I tried to write something that high
school students could understand:
A=:6 9 3 1
B=:6 9 3 1 4
l=: 13 :'(i.<.-:#y){/:~y'
r=: 13 :'(i.<.-:#y){|./:~y'
me=: 13 :'-:+/((<.,>.)-:<:#y){/:~y'
(<./;([:me l);me;([: me r);>./)A
--T-T---T---T-┐
│1│2│4.5│7.5│9│
L-+-+---+---+--
(<./;([:me l);me;([: me r);>./)B
--T-T-T---T-┐
│1│2│4│7.5│9│
L-+-+-+---+--
Now I'll look at your other answers and see if I can simplify it even more.
Linda
-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Linda Alvord
Sent: Tuesday, May 06, 2014 5:39 PM
To: [email protected]
Subject: Re: [Jprogramming] Five Number Summary
Kip, I get the same result as Raul. No need to load 'stats'. My new mean
does not include @ .
l=: 13 :'(i.<.-:#y){y'
r=: 13 :'|.(i.<.-:#y){|.y'
me=: 13 :'-:+/((<.,>.)-:<:#y){/:~y'
(<./;([:me l);me;([: me r);>./)1 2 2 4 6
--T---T-T-T-┐
│1│1.5│2│5│6│
L-+---+-+-+--
I'm happy because the definition is all forks.
5!:4 <'me'
-- [:
+- -:
│ -- [:
│ +- / --- +
--+ │ -- [:
│ │ │ -- <.
│ │ +----+- ,
L----+ │ L- >.
│ ------+
│ │ │ -- [:
│ │ │ +- -:
│ │ L----+ -- [:
L-----+ L----+- <:
│ L- #
+- {
L- ~ --- /:
It looks better in J !
Linda
-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Kip Murray
Sent: Tuesday, May 06, 2014 5:15 PM
To: [email protected]
Subject: Re: [Jprogramming] Five Number Summary
Tukey used the name "fourths" because they are a little different from
quartiles.
On Tuesday, May 6, 2014, Joe Bogner <[email protected]> wrote:
> On Tue, May 6, 2014 at 4:33 PM, Kip Murray
<[email protected]<javascript:;>>
> wrote:
>
> > jtfns 1 2 2 4 6 NB. correct
> > 1 1.5 2 5 6
> > five 1 2 2 4 6 NB. doesn't work if repetitions in data
> > 1 1 2 5 6
> >
> >
> On Tue, May 6, 2014 at 4:33 PM, Kip Murray
<[email protected]<javascript:;>>
> wrote:
>
> > five 1 2 2 4 6 NB. doesn't work if repetitions in data
> > 1 1 2 5 6
> >
> >
> It's interesting that R gives even a different result (
> http://en.wikipedia.org/wiki/Five-number_summary#Example_in_R)
>
> > z <- c(1,2,2,4,6)
> > fivenum(z)
> [1] 1 2 2 4 6
> > summary(z)
> Min. 1st Qu. Median Mean 3rd Qu. Max.
> 1 2 2 3 4 6
>
>
> For the 1st quartile, Excel gives 2 with QUARTILE.INC and 1.5
> with QUARTILE.EXC
> For the 3rd, Excel gives 4 and 5 respectively
>
> So R is following the "INC" method
>
> http://stats.stackexchange.com/questions/28123/quartiles-in-excel is an
> interesting read
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>
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