Rosetta Stone Challenge: Draw a Box Plot

Question

The goal of a Rosetta Stone Challenge is to write solutions in as many languages as possible. Show off your programming multilingualism!

The Challenge

Your challenge is to implement a program that will input a list of numbers and output a box plot of the data, in as many programming languages as possible. The box plot will display the quartiles and outliers in the data, and it will even have a scale. You are allowed to use any sort of standard library function that your language has, since this is mostly a language showcase.

What is a "box plot?"

A box plot is a way of graphing data. A box plot has a few essential features. The first feature is a box, with either side being located at the first and third quartiles of the data. There is a line down the center of the box plot that gives the median. On either end of the box plot, there are "whiskers" that help show the variance of the data. The whisker extends from the box to the least and greatest points in the data set, excluding the outliers. The outliers are plotted as individual points.

First, take the median of the data. Then, take all of the data points that are strictly less than the median, and compute the median of this set to become the first quartile (Q1). Take all of the data points that are strictly greater than the median, and compute the median of this set to become the third quartile (Q3). Find the value of R = 1.5*(Q3 - Q1). Any numbers less Q1 - R this are outliers. Any numbers greater than Q3 + R are outliers. Take the set of all data points that are not outliers, and the minimum and maximum of this set determines the ends of the two whiskers.

Input

Input will begin with n= followed by a number. There will then be n numbers, one per line. All of the numbers will be integers from 0 to 63, inclusive.

n=8
29
1
22
18
12
16
16
22

Output

Output will be a rendition of the box plot. One possible way to draw the plot is by rendering it in ASCII. You can render the box plot in many ways other than ASCII, but the main requirement is that drawn large enough so that it is possible to tell the exact locations of the important features. The box plot should have a scale, consisting of around 5-10 numbers equally spaced. Here is one example plot of the above data:

              +--+----+        
              |  |    |        
 X          +-+  |    +------+ 
              |  |    |        
              +--+----+        

0    0    1    1    2    2    3
0    5    0    5    0    5    0

The Objective Winning Criterion

As for an objective winning criterion, here it is: Each language is a separate competition as to who can write the shortest entry, but the overall winner would be the person who wins the most of these sub-competitions. This means that a person who answers in many uncommon languages can gain an advantage. Code-golf is mostly a tiebreaker for when there is more than one solution in a language: the person with the shortest program gets credit for that language.

Rules, Restrictions, and Notes

Your program can be written in any language that existed prior to April 11th, 2013. I will also have to rely on the community to validate some responses written in some of the more uncommon/esoteric languages, since I am unlikely to be able to test them.

---

Current Leaderboard

This section will be periodically updated to show the number of languages and who is leading in each.

• Julia (604) - plannapus
• Mathematica (71) - chyanog
• Python2.X (85) - Abhijit
• R (34) - plannapus

---

Current User Rankings

1. plannapus - 2
2. Abhijit - 1
3. chyanog - 1

Answer 1

R: 34 characters

Of course, R being a language used for statistics, it comes with a function boxplot to do this (which needs a wrapper here to accomodate the input style):

f=function(x)boxplot(scan(x,sk=1))

Usage: Given a file input1.txt containing the following:

n=10
29
1
22
19
9
13
15
22
63
2

Then f("input1.txt") produces:

Julia: 604 characters

This is my first ever function in Julia, so my apologies to fans of Julia if this is badly written.

function g(f)
a=int(split(readall(open(f)),'\n')[2:])
b,c,d=int(quantile(a,[.25,.5,.75]))
w=1.5*(d-b)
o=a[a.<b-w]
O=a[a.>d+w]
t=int(b-w>0?b-w:0)
u=int(d+w<63?d+w:63)
S=s=""
if !isempty(o)
for i in 1:length(o)
s=s*lpad('x',[0,o][i+1]-[0,o][i]-1,' ')
end
end
if !isempty(O)
for i in 1:length(O)
S=S*lpad('x',[0,O][i+1]-[0,O][i]-u-1,' ')
end
end
x="0"
for i in 9:9:63
x=x*lpad(string(i),i-(i-9)," ")
end
v=isempty(o)?b-1:b-o[length(o)]-1
print(x*"\n"*lpad('+'*'-'^(d-b-1)*'+',d,' ')*'\n'*s*lpad('-'^(b-t-1),v,' ')*'|'*lpad('|',c-b,' ')*' '^(d-c-1)*'|'*'-'^(u-d)*S*'\n'*lpad('+'*'-'^(d-b-1)*'+',d,' '))
end

Usage:

g("input1.txt")
0        9       18       27       36       45       54       63
         +-----------+
---------|      |    |------------------                     x
         +-----------+

Answer 2

Python2.X 85 Characters, using matplotlib

import matplotlib.pylab as p
p.boxplot(map(input,['']*int(raw_input()[2:])))
p.show()

Answer 3

Mathematica 71

BoxWhiskerChart[Input/@x~Array~FromDigits@StringTake[InputString[],-1]]