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Ruby

require 'facets/math/variance'
module Math
# Standard deviation of a sample.
#
def self.std(array, &block)
sqrt(variance(array, &block))
end
class << self
alias_method :standard_deviation, :std
end
# Standard deviation of a population.
#
def self.pstd(array, &block)
Math::sqrt(pvariance(array, &block))
end
# Calculates the standard error of a sample.
def self.stderr(array)
return 0.0 if array.size < 2
std(array) / sqrt(array.size)
end
end