Averages/Median
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You are encouraged to solve this task according to the task description, using any language you may know.
Write a program to find the median value of a vector of floating-point numbers. The program need not handle the case where the vector is empty, but must handle the case where there are an even number of elements.
See also: Mean
Java
<lang java5>public static double median(List<Double> list){
Collections.sort(list); if(list.size() % 2 == 0){ return (list.get((list.size()) / 2) + list.get((list.size()) / 2 - 1)) / 2; } return list.get((list.size()-1)/2);
}</lang>
Python
<lang python>def median(aray):
srtd = sorted(aray) alen = len(srtd) return 0.5*( srtd[(alen-1)//2] + srtd[alen//2])
a = (4.1, 5.6, 7.2, 1.7, 9.3, 4.4, 3.2) print a, median(a) a = (4.1, 7.2, 1.7, 9.3, 4.4, 3.2) print a, median(a)</lang>
Ruby
<lang ruby>def median(ary)
return nil if ary.empty? mid, rem = ary.length.divmod(2) if rem == 0 ary.sort[mid-1,2].inject(:+) / 2.0 else ary.sort[mid] end
end
p median([]) # => nil p median([5,3,4]) # => 4 p median([5,4,2,3]) # => 3.5 p median([3,4,1,-8.4,7.2,4,1,1.2]) # => 2.1</lang>
Tcl
<lang tcl>proc median args {
set list [lsort -real $args] set len [llength $list] # Odd number of elements if {$len & 1} { return [lindex $list [expr {($len-1)/2}]] } # Even number of elements set idx2 [expr {$len/2}] set idx1 [expr {$idx2-1}] return [expr { ([lindex $list $idx1] + [lindex $list $idx2])/2.0 }]
}
puts [median 3.0 4.0 1.0 -8.4 7.2 4.0 1.0 1.2]; # --> 2.1</lang>