Modern Math Median

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Median

Returns the middle value of an array, without reordering it.

Syntax

Median( byref a as Array( of T ) ) as float64

Notes

• Resistant to outliers in a way the mean is not: one absurd value moves the mean and leaves the median where it was.
• An even count averages the two middle values, so the result need not be an element of the array.
• It sorts a copy; the input array is left alone.

Examples

#import "std/numeric"
#import "std/containers"
using numeric
using containers

dim as Array( of float64 ) a = { 2.0, 4.0, 4.0, 4.0, 6.0 }

print Median( a )         '' 4

'' One absurd value moves the mean and leaves the median alone
dim as Array( of float64 ) b = { 2.0, 4.0, 4.0, 4.0, 1e9 }
print Median( b )         '' 4
print Mean( b ) > 1e8     '' -1 (true)

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Library: Math Library
Category: Math Library
Documented under: Members