#!/usr/bin/python
# $Id: moments.python.html,v 1.5 2004/07/03 07:11:34 bfulgham Exp $
# http://www.bagley.org/~doug/shootout/
import sys, string, math, operator
def main():
sum = 0
nums = []
atof = string.atof
nums = map(atof, sys.stdin.readlines())
sum = reduce(operator.add, nums)
n = len(nums)
mean = sum/n
average_deviation = 0
standard_deviation = 0
variance = 0
skew = 0
kurtosis = 0
for num in nums:
deviation = num - mean
average_deviation += abs(deviation)
variance += deviation**2;
skew += deviation**3;
kurtosis += deviation**4
average_deviation /= n
variance /= (n - 1)
standard_deviation = math.sqrt(variance)
if variance > 0.0:
skew /= (n * variance * standard_deviation)
kurtosis = kurtosis/(n * variance * variance) - 3.0
nums.sort()
mid = n / 2
if (n % 2) == 0:
median = (nums[mid] + nums[mid-1])/2
else:
median = nums[mid]
print "n: %d" % n
print "median: %f" % median
print "mean: %f" % mean
print "average_deviation: %f" % average_deviation
print "standard_deviation: %f" % standard_deviation
print "variance: %f" % variance
print "skew: %f" % skew
print "kurtosis: %f" % kurtosis
main()